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Finding the Fourth Proportional to 2,735.69, 3,773.96 and 1,615.88

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Solution

The fourth proportional to 2,735.69, 3,773.96 and 1,615.88 is: 2,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.69 : 3,773.96 = 1,615.88 : x
  2. Step 2: Convert to fraction form
    2,735.69/3,773.96 = 1,615.88/x
  3. Step 3: Cross multiply
    2,735.69x = 3,773.96 × 1,615.88
  4. Step 4: Simplify right side
    2,735.69x = 6,098,239.54
  5. Step 5: Solve for x
    x = 6,098,239.54/2,735.69
  6. Step 6: Final answer
    x = 2,229.15

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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.