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Finding the Fourth Proportional to 2,055.24, 3,078.27 and 957.96

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Solution

The fourth proportional to 2,055.24, 3,078.27 and 957.96 is: 1,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.24 : 3,078.27 = 957.96 : x
  2. Step 2: Convert to fraction form
    2,055.24/3,078.27 = 957.96/x
  3. Step 3: Cross multiply
    2,055.24x = 3,078.27 × 957.96
  4. Step 4: Simplify right side
    2,055.24x = 2,948,859.53
  5. Step 5: Solve for x
    x = 2,948,859.53/2,055.24
  6. Step 6: Final answer
    x = 1,434.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.