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Finding the Fourth Proportional to 2,672.49, 4,008.96 and 724.68

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Solution

The fourth proportional to 2,672.49, 4,008.96 and 724.68 is: 1,087.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.49 : 4,008.96 = 724.68 : x
  2. Step 2: Convert to fraction form
    2,672.49/4,008.96 = 724.68/x
  3. Step 3: Cross multiply
    2,672.49x = 4,008.96 × 724.68
  4. Step 4: Simplify right side
    2,672.49x = 2,905,213.13
  5. Step 5: Solve for x
    x = 2,905,213.13/2,672.49
  6. Step 6: Final answer
    x = 1,087.08

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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.