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Finding the Fourth Proportional to 1,616.91, 2,229.57 and 1,092.03

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Solution

The fourth proportional to 1,616.91, 2,229.57 and 1,092.03 is: 1,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.91 : 2,229.57 = 1,092.03 : x
  2. Step 2: Convert to fraction form
    1,616.91/2,229.57 = 1,092.03/x
  3. Step 3: Cross multiply
    1,616.91x = 2,229.57 × 1,092.03
  4. Step 4: Simplify right side
    1,616.91x = 2,434,757.33
  5. Step 5: Solve for x
    x = 2,434,757.33/1,616.91
  6. Step 6: Final answer
    x = 1,505.81

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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.