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Finding the Fourth Proportional to 2,031.20, 3,046.80 and 732.14

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Solution

The fourth proportional to 2,031.20, 3,046.80 and 732.14 is: 1,098.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.20 : 3,046.80 = 732.14 : x
  2. Step 2: Convert to fraction form
    2,031.20/3,046.80 = 732.14/x
  3. Step 3: Cross multiply
    2,031.20x = 3,046.80 × 732.14
  4. Step 4: Simplify right side
    2,031.20x = 2,230,684.15
  5. Step 5: Solve for x
    x = 2,230,684.15/2,031.20
  6. Step 6: Final answer
    x = 1,098.21

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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.