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Finding the Fourth Proportional to 2,331.97, 3,497.99 and 688.56

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Solution

The fourth proportional to 2,331.97, 3,497.99 and 688.56 is: 1,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.97 : 3,497.99 = 688.56 : x
  2. Step 2: Convert to fraction form
    2,331.97/3,497.99 = 688.56/x
  3. Step 3: Cross multiply
    2,331.97x = 3,497.99 × 688.56
  4. Step 4: Simplify right side
    2,331.97x = 2,408,575.99
  5. Step 5: Solve for x
    x = 2,408,575.99/2,331.97
  6. Step 6: Final answer
    x = 1,032.85

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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.