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Finding the Fourth Proportional to 2,732.97, 3,771.39 and 1,613.97

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Solution

The fourth proportional to 2,732.97, 3,771.39 and 1,613.97 is: 2,227.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.97 : 3,771.39 = 1,613.97 : x
  2. Step 2: Convert to fraction form
    2,732.97/3,771.39 = 1,613.97/x
  3. Step 3: Cross multiply
    2,732.97x = 3,771.39 × 1,613.97
  4. Step 4: Simplify right side
    2,732.97x = 6,086,910.32
  5. Step 5: Solve for x
    x = 6,086,910.32/2,732.97
  6. Step 6: Final answer
    x = 2,227.21

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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.