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Finding the Fourth Proportional to 1,743.33, 2,614.17 and 1,013.13

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Solution

The fourth proportional to 1,743.33, 2,614.17 and 1,013.13 is: 1,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.33 : 2,614.17 = 1,013.13 : x
  2. Step 2: Convert to fraction form
    1,743.33/2,614.17 = 1,013.13/x
  3. Step 3: Cross multiply
    1,743.33x = 2,614.17 × 1,013.13
  4. Step 4: Simplify right side
    1,743.33x = 2,648,494.05
  5. Step 5: Solve for x
    x = 2,648,494.05/1,743.33
  6. Step 6: Final answer
    x = 1,519.22

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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.