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Finding the Fourth Proportional to 1,641.57, 2,462.72 and 545.97

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Solution

The fourth proportional to 1,641.57, 2,462.72 and 545.97 is: 819.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.57 : 2,462.72 = 545.97 : x
  2. Step 2: Convert to fraction form
    1,641.57/2,462.72 = 545.97/x
  3. Step 3: Cross multiply
    1,641.57x = 2,462.72 × 545.97
  4. Step 4: Simplify right side
    1,641.57x = 1,344,580.81
  5. Step 5: Solve for x
    x = 1,344,580.81/1,641.57
  6. Step 6: Final answer
    x = 819.08

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Why These Related Problems?

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