Where can I get replacement speakers for My RCA RT2760 ?

You can only get the replacement from RCA the manufacturer of them system. More than likely it would not be cost effective in just replacing the speakers. Those home theater in a box are not very good system and the do not last long. You might try the swap meet or yard sale and see if the have something you can use. This would be the less expensive way. Buying stand alone speakers might not compatible with your system. Hope this will help you out.