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Finding the Fourth Proportional to 1,740.96, 2,400.17 and 1,366.47

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Solution

The fourth proportional to 1,740.96, 2,400.17 and 1,366.47 is: 1,883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.96 : 2,400.17 = 1,366.47 : x
  2. Step 2: Convert to fraction form
    1,740.96/2,400.17 = 1,366.47/x
  3. Step 3: Cross multiply
    1,740.96x = 2,400.17 × 1,366.47
  4. Step 4: Simplify right side
    1,740.96x = 3,279,753.47
  5. Step 5: Solve for x
    x = 3,279,753.47/1,740.96
  6. Step 6: Final answer
    x = 1,883.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.