Switch between cable modem and router?

I am attempting to connect a cable modem upstairs to a WiFi router downstairs.  However, there is not a straight-run ethernet cable between these two points.  I have a switch upstairs which connects the upstairs/downstairs jacks located on a 4-port wall plate nearby.  

Will it work, if I connect the ethernet out of the back of the cable modem, to switch, then to the 'internet' port on the cable modem?

cable modem->>switch->>'internet' port on WiFi router
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davisAsked:
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NetExpert Network Solutions Pte LtdTechnical SpecialistCommented:
//I have a switch upstairs which connects the upstairs/downstairs jacks located on a 4-port wall plate nearby//  -- Yes, This has to work, if the cabling is lad off properly.

//Will it work, if I connect the ethernet out of the back of the cable modem, to switch, then to the 'internet' port on the cable modem?//  -- Yes, this will work, if the cable modem connected switch port and internet router connected switch port are in same vlan.

If the switch is not a managed switch, then by default, it will work

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JohnBusiness Consultant (Owner)Commented:
I suggest you try Power over Ethernet and connect the Wi-Fi router normally to the Cable Modem and keep it connected all the time. Your way will work, but this is easier and less problem. You need a POE adapter at each end.
Benjamin VoglarIT ProCommented:
Of course it will work. If your cable is to short you can always use something like LAN Connector Adapter Couplers Extender

http://www.ayliss.com/rj45-female-to-female-network-ethernet-lan-connector-adapter-couplers-extender_p22719.html
davisAuthor Commented:
not sure what is meant by  'cabling is lad off properly' but if it will work, then i have an answer.  thanks
NetExpert Network Solutions Pte LtdTechnical SpecialistCommented:
I told about the physical cabling connectivity between upstairs and downstairs
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