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Finding the Fourth Proportional to 2,293.71, 3,439.18 and 1,252.27

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Solution

The fourth proportional to 2,293.71, 3,439.18 and 1,252.27 is: 1,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.71 : 3,439.18 = 1,252.27 : x
  2. Step 2: Convert to fraction form
    2,293.71/3,439.18 = 1,252.27/x
  3. Step 3: Cross multiply
    2,293.71x = 3,439.18 × 1,252.27
  4. Step 4: Simplify right side
    2,293.71x = 4,306,778.13
  5. Step 5: Solve for x
    x = 4,306,778.13/2,293.71
  6. Step 6: Final answer
    x = 1,877.64

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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.