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Finding the Fourth Proportional to 1,841.52, 2,761.98 and 542.69

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Solution

The fourth proportional to 1,841.52, 2,761.98 and 542.69 is: 813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.52 : 2,761.98 = 542.69 : x
  2. Step 2: Convert to fraction form
    1,841.52/2,761.98 = 542.69/x
  3. Step 3: Cross multiply
    1,841.52x = 2,761.98 × 542.69
  4. Step 4: Simplify right side
    1,841.52x = 1,498,898.93
  5. Step 5: Solve for x
    x = 1,498,898.93/1,841.52
  6. Step 6: Final answer
    x = 813.95

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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.