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Finding the Fourth Proportional to 2,853.52, 4,280.68 and 879.31

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Solution

The fourth proportional to 2,853.52, 4,280.68 and 879.31 is: 1,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.52 : 4,280.68 = 879.31 : x
  2. Step 2: Convert to fraction form
    2,853.52/4,280.68 = 879.31/x
  3. Step 3: Cross multiply
    2,853.52x = 4,280.68 × 879.31
  4. Step 4: Simplify right side
    2,853.52x = 3,764,044.73
  5. Step 5: Solve for x
    x = 3,764,044.73/2,853.52
  6. Step 6: Final answer
    x = 1,319.09

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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.