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Finding the Fourth Proportional to 3,251.98, 4,487.72 and 1,759.88

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Solution

The fourth proportional to 3,251.98, 4,487.72 and 1,759.88 is: 2,428.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.98 : 4,487.72 = 1,759.88 : x
  2. Step 2: Convert to fraction form
    3,251.98/4,487.72 = 1,759.88/x
  3. Step 3: Cross multiply
    3,251.98x = 4,487.72 × 1,759.88
  4. Step 4: Simplify right side
    3,251.98x = 7,897,848.67
  5. Step 5: Solve for x
    x = 7,897,848.67/3,251.98
  6. Step 6: Final answer
    x = 2,428.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.