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Finding the Fourth Proportional to 1,641.87, 2,463.21 and 1,092.69

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Solution

The fourth proportional to 1,641.87, 2,463.21 and 1,092.69 is: 1,639.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.87 : 2,463.21 = 1,092.69 : x
  2. Step 2: Convert to fraction form
    1,641.87/2,463.21 = 1,092.69/x
  3. Step 3: Cross multiply
    1,641.87x = 2,463.21 × 1,092.69
  4. Step 4: Simplify right side
    1,641.87x = 2,691,524.93
  5. Step 5: Solve for x
    x = 2,691,524.93/1,641.87
  6. Step 6: Final answer
    x = 1,639.30

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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.