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Finding the Fourth Proportional to 2,753.09, 4,129.64 and 2,265.12

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Solution

The fourth proportional to 2,753.09, 4,129.64 and 2,265.12 is: 3,397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.09 : 4,129.64 = 2,265.12 : x
  2. Step 2: Convert to fraction form
    2,753.09/4,129.64 = 2,265.12/x
  3. Step 3: Cross multiply
    2,753.09x = 4,129.64 × 2,265.12
  4. Step 4: Simplify right side
    2,753.09x = 9,354,140.07
  5. Step 5: Solve for x
    x = 9,354,140.07/2,753.09
  6. Step 6: Final answer
    x = 3,397.68

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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.