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Finding the Fourth Proportional to 2,545.29, 3,512.31 and 1,410.87

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Solution

The fourth proportional to 2,545.29, 3,512.31 and 1,410.87 is: 1,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.29 : 3,512.31 = 1,410.87 : x
  2. Step 2: Convert to fraction form
    2,545.29/3,512.31 = 1,410.87/x
  3. Step 3: Cross multiply
    2,545.29x = 3,512.31 × 1,410.87
  4. Step 4: Simplify right side
    2,545.29x = 4,955,420.69
  5. Step 5: Solve for x
    x = 4,955,420.69/2,545.29
  6. Step 6: Final answer
    x = 1,946.90

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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.