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Finding the Fourth Proportional to 2,293.92, 3,440.88 and 754.92

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Solution

The fourth proportional to 2,293.92, 3,440.88 and 754.92 is: 1,132.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.92 : 3,440.88 = 754.92 : x
  2. Step 2: Convert to fraction form
    2,293.92/3,440.88 = 754.92/x
  3. Step 3: Cross multiply
    2,293.92x = 3,440.88 × 754.92
  4. Step 4: Simplify right side
    2,293.92x = 2,597,589.13
  5. Step 5: Solve for x
    x = 2,597,589.13/2,293.92
  6. Step 6: Final answer
    x = 1,132.38

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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.