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Finding the Fourth Proportional to 2,635.44, 3,951.82 and 879.82

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Solution

The fourth proportional to 2,635.44, 3,951.82 and 879.82 is: 1,319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.44 : 3,951.82 = 879.82 : x
  2. Step 2: Convert to fraction form
    2,635.44/3,951.82 = 879.82/x
  3. Step 3: Cross multiply
    2,635.44x = 3,951.82 × 879.82
  4. Step 4: Simplify right side
    2,635.44x = 3,476,876.55
  5. Step 5: Solve for x
    x = 3,476,876.55/2,635.44
  6. Step 6: Final answer
    x = 1,319.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.