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Finding the Fourth Proportional to 1,614.53, 2,229.05 and 1,240.79

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Solution

The fourth proportional to 1,614.53, 2,229.05 and 1,240.79 is: 1,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.53 : 2,229.05 = 1,240.79 : x
  2. Step 2: Convert to fraction form
    1,614.53/2,229.05 = 1,240.79/x
  3. Step 3: Cross multiply
    1,614.53x = 2,229.05 × 1,240.79
  4. Step 4: Simplify right side
    1,614.53x = 2,765,774.91
  5. Step 5: Solve for x
    x = 2,765,774.91/1,614.53
  6. Step 6: Final answer
    x = 1,713.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.