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Finding the Fourth Proportional to 1,642.20, 2,463.30 and 861.90

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Solution

The fourth proportional to 1,642.20, 2,463.30 and 861.90 is: 1,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.20 : 2,463.30 = 861.90 : x
  2. Step 2: Convert to fraction form
    1,642.20/2,463.30 = 861.90/x
  3. Step 3: Cross multiply
    1,642.20x = 2,463.30 × 861.90
  4. Step 4: Simplify right side
    1,642.20x = 2,123,118.27
  5. Step 5: Solve for x
    x = 2,123,118.27/1,642.20
  6. Step 6: Final answer
    x = 1,292.85

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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.