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Finding the Fourth Proportional to 3,251.82, 4,877.88 and 879.87

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Solution

The fourth proportional to 3,251.82, 4,877.88 and 879.87 is: 1,319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.82 : 4,877.88 = 879.87 : x
  2. Step 2: Convert to fraction form
    3,251.82/4,877.88 = 879.87/x
  3. Step 3: Cross multiply
    3,251.82x = 4,877.88 × 879.87
  4. Step 4: Simplify right side
    3,251.82x = 4,291,900.28
  5. Step 5: Solve for x
    x = 4,291,900.28/3,251.82
  6. Step 6: Final answer
    x = 1,319.85

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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.