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.

Example Input: [179.573, -62.25, -20.48, 92.487, 146.211, 148.329, 56.409, -65.715, 119.242, 219.678]
Example Output: [ 0.221 -0.077 -0.025  0.114  0.18   0.182  0.069 -0.081  0.147  0.27 ]

Example Input: [103.142, 32.852, 240.16, 126.324]
Example Output: [0.205 0.065 0.478 0.251]

Example Input: [-62.55, 49.946, -19.663, 68.612, 73.037, 94.445, 233.801, 52.5]
Example Output:
[-0.128  0.102 -0.04   0.14   0.149  0.193  0.477  0.107]