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Finding the Fourth Proportional to 2,265.17, 3,393.41 and 1,744.38

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Solution

The fourth proportional to 2,265.17, 3,393.41 and 1,744.38 is: 2,613.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.17 : 3,393.41 = 1,744.38 : x
  2. Step 2: Convert to fraction form
    2,265.17/3,393.41 = 1,744.38/x
  3. Step 3: Cross multiply
    2,265.17x = 3,393.41 × 1,744.38
  4. Step 4: Simplify right side
    2,265.17x = 5,919,387.81
  5. Step 5: Solve for x
    x = 5,919,387.81/2,265.17
  6. Step 6: Final answer
    x = 2,613.23

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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.