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Finding the Fourth Proportional to 2,572.11, 3,858.17 and 1,032.75

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Solution

The fourth proportional to 2,572.11, 3,858.17 and 1,032.75 is: 1,549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.11 : 3,858.17 = 1,032.75 : x
  2. Step 2: Convert to fraction form
    2,572.11/3,858.17 = 1,032.75/x
  3. Step 3: Cross multiply
    2,572.11x = 3,858.17 × 1,032.75
  4. Step 4: Simplify right side
    2,572.11x = 3,984,519.90
  5. Step 5: Solve for x
    x = 3,984,519.90/2,572.11
  6. Step 6: Final answer
    x = 1,549.13

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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.