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Finding the Fourth Proportional to 2,513.52, 3,769.17 and 1,343.31

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Solution

The fourth proportional to 2,513.52, 3,769.17 and 1,343.31 is: 2,014.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.52 : 3,769.17 = 1,343.31 : x
  2. Step 2: Convert to fraction form
    2,513.52/3,769.17 = 1,343.31/x
  3. Step 3: Cross multiply
    2,513.52x = 3,769.17 × 1,343.31
  4. Step 4: Simplify right side
    2,513.52x = 5,063,163.75
  5. Step 5: Solve for x
    x = 5,063,163.75/2,513.52
  6. Step 6: Final answer
    x = 2,014.37

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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.