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Finding the Fourth Proportional to 2,463.01, 3,692.57 and 1,229.79

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Solution

The fourth proportional to 2,463.01, 3,692.57 and 1,229.79 is: 1,843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.01 : 3,692.57 = 1,229.79 : x
  2. Step 2: Convert to fraction form
    2,463.01/3,692.57 = 1,229.79/x
  3. Step 3: Cross multiply
    2,463.01x = 3,692.57 × 1,229.79
  4. Step 4: Simplify right side
    2,463.01x = 4,541,085.66
  5. Step 5: Solve for x
    x = 4,541,085.66/2,463.01
  6. Step 6: Final answer
    x = 1,843.71

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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.