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Finding the Fourth Proportional to 2,339.31, 3,509.91 and 878.88

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Solution

The fourth proportional to 2,339.31, 3,509.91 and 878.88 is: 1,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.31 : 3,509.91 = 878.88 : x
  2. Step 2: Convert to fraction form
    2,339.31/3,509.91 = 878.88/x
  3. Step 3: Cross multiply
    2,339.31x = 3,509.91 × 878.88
  4. Step 4: Simplify right side
    2,339.31x = 3,084,789.70
  5. Step 5: Solve for x
    x = 3,084,789.70/2,339.31
  6. Step 6: Final answer
    x = 1,318.68

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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.