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Finding the Fourth Proportional to 2,687.73, 4,031.33 and 740.13

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Solution

The fourth proportional to 2,687.73, 4,031.33 and 740.13 is: 1,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.73 : 4,031.33 = 740.13 : x
  2. Step 2: Convert to fraction form
    2,687.73/4,031.33 = 740.13/x
  3. Step 3: Cross multiply
    2,687.73x = 4,031.33 × 740.13
  4. Step 4: Simplify right side
    2,687.73x = 2,983,704.57
  5. Step 5: Solve for x
    x = 2,983,704.57/2,687.73
  6. Step 6: Final answer
    x = 1,110.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.