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Finding the Fourth Proportional to 1,642.20, 2,463.09 and 487.95

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Solution

The fourth proportional to 1,642.20, 2,463.09 and 487.95 is: 731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.20 : 2,463.09 = 487.95 : x
  2. Step 2: Convert to fraction form
    1,642.20/2,463.09 = 487.95/x
  3. Step 3: Cross multiply
    1,642.20x = 2,463.09 × 487.95
  4. Step 4: Simplify right side
    1,642.20x = 1,201,864.77
  5. Step 5: Solve for x
    x = 1,201,864.77/1,642.20
  6. Step 6: Final answer
    x = 731.86

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