For simplicity sake, you take one reading at point 1, say your 2.4V, you SHOULD get the same at point 2 (if your fuse is intact). If you don't suspect a fuse clip or fuse clip solder.

Image courtesy of pinwiki.com of an after market power board
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I don't always get things w/o visual reference but what you said made perfect sense to me.

Sorry for swapping images but all I could find on short notice with a connector and fuse clips. So again for simplicity only, let's say this purple wire is your input source, one of your DMM probes goes in here, then you measure at point 2, that is your "known" voltage i.e. fixed... then move the probe from point 2 to point 3. If your fuse is good and your solder joints on the fuse clip are good you should see the same voltage as when you probed #2.

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check with Ed, G-P-E

https://www.greatplainselectronics.com/search.asp

digi-key?
Mouser?