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Finding the Fourth Proportional to 2,809.87, 3,872.44 and 2,252.18

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Solution

The fourth proportional to 2,809.87, 3,872.44 and 2,252.18 is: 3,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.87 : 3,872.44 = 2,252.18 : x
  2. Step 2: Convert to fraction form
    2,809.87/3,872.44 = 2,252.18/x
  3. Step 3: Cross multiply
    2,809.87x = 3,872.44 × 2,252.18
  4. Step 4: Simplify right side
    2,809.87x = 8,721,431.92
  5. Step 5: Solve for x
    x = 8,721,431.92/2,809.87
  6. Step 6: Final answer
    x = 3,103.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.