In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.
[247.478, 131.66, -89.512, 116.654, 84.951, -2.284, 220.539, -2.304, 84.882, 40.605]