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Finding the Fourth Proportional to 2,260.62, 3,389.92 and 872.89

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Solution

The fourth proportional to 2,260.62, 3,389.92 and 872.89 is: 1,308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.62 : 3,389.92 = 872.89 : x
  2. Step 2: Convert to fraction form
    2,260.62/3,389.92 = 872.89/x
  3. Step 3: Cross multiply
    2,260.62x = 3,389.92 × 872.89
  4. Step 4: Simplify right side
    2,260.62x = 2,959,016.61
  5. Step 5: Solve for x
    x = 2,959,016.61/2,260.62
  6. Step 6: Final answer
    x = 1,308.94

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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.