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Finding the Fourth Proportional to 2,687.20, 4,031.48 and 1,301.20

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Solution

The fourth proportional to 2,687.20, 4,031.48 and 1,301.20 is: 1,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.20 : 4,031.48 = 1,301.20 : x
  2. Step 2: Convert to fraction form
    2,687.20/4,031.48 = 1,301.20/x
  3. Step 3: Cross multiply
    2,687.20x = 4,031.48 × 1,301.20
  4. Step 4: Simplify right side
    2,687.20x = 5,245,761.78
  5. Step 5: Solve for x
    x = 5,245,761.78/2,687.20
  6. Step 6: Final answer
    x = 1,952.13

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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.