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Finding the Fourth Proportional to 2,207.66, 3,311.92 and 746.78

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Solution

The fourth proportional to 2,207.66, 3,311.92 and 746.78 is: 1,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.66 : 3,311.92 = 746.78 : x
  2. Step 2: Convert to fraction form
    2,207.66/3,311.92 = 746.78/x
  3. Step 3: Cross multiply
    2,207.66x = 3,311.92 × 746.78
  4. Step 4: Simplify right side
    2,207.66x = 2,473,275.62
  5. Step 5: Solve for x
    x = 2,473,275.62/2,207.66
  6. Step 6: Final answer
    x = 1,120.32

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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.