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Finding the Fourth Proportional to 2,753.19, 4,129.79 and 2,265.22

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Solution

The fourth proportional to 2,753.19, 4,129.79 and 2,265.22 is: 3,397.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.19 : 4,129.79 = 2,265.22 : x
  2. Step 2: Convert to fraction form
    2,753.19/4,129.79 = 2,265.22/x
  3. Step 3: Cross multiply
    2,753.19x = 4,129.79 × 2,265.22
  4. Step 4: Simplify right side
    2,753.19x = 9,354,861.25
  5. Step 5: Solve for x
    x = 9,354,861.25/2,753.19
  6. Step 6: Final answer
    x = 3,397.83

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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.