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Finding the Fourth Proportional to 2,572.13, 3,545.42 and 2,032.88

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Solution

The fourth proportional to 2,572.13, 3,545.42 and 2,032.88 is: 2,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.13 : 3,545.42 = 2,032.88 : x
  2. Step 2: Convert to fraction form
    2,572.13/3,545.42 = 2,032.88/x
  3. Step 3: Cross multiply
    2,572.13x = 3,545.42 × 2,032.88
  4. Step 4: Simplify right side
    2,572.13x = 7,207,385.52
  5. Step 5: Solve for x
    x = 7,207,385.52/2,572.13
  6. Step 6: Final answer
    x = 2,802.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.