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Finding the Fourth Proportional to 2,487.88, 3,731.34 and 732.49

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Solution

The fourth proportional to 2,487.88, 3,731.34 and 732.49 is: 1,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.88 : 3,731.34 = 732.49 : x
  2. Step 2: Convert to fraction form
    2,487.88/3,731.34 = 732.49/x
  3. Step 3: Cross multiply
    2,487.88x = 3,731.34 × 732.49
  4. Step 4: Simplify right side
    2,487.88x = 2,733,169.24
  5. Step 5: Solve for x
    x = 2,733,169.24/2,487.88
  6. Step 6: Final answer
    x = 1,098.59

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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.