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Finding the Fourth Proportional to 1,545.49, 2,132.31 and 916.12

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Solution

The fourth proportional to 1,545.49, 2,132.31 and 916.12 is: 1,263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.49 : 2,132.31 = 916.12 : x
  2. Step 2: Convert to fraction form
    1,545.49/2,132.31 = 916.12/x
  3. Step 3: Cross multiply
    1,545.49x = 2,132.31 × 916.12
  4. Step 4: Simplify right side
    1,545.49x = 1,953,451.84
  5. Step 5: Solve for x
    x = 1,953,451.84/1,545.49
  6. Step 6: Final answer
    x = 1,263.97

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Why These Related Problems?

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