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Finding the Fourth Proportional to 2,251.71, 3,107.34 and 1,257.03

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Solution

The fourth proportional to 2,251.71, 3,107.34 and 1,257.03 is: 1,734.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.71 : 3,107.34 = 1,257.03 : x
  2. Step 2: Convert to fraction form
    2,251.71/3,107.34 = 1,257.03/x
  3. Step 3: Cross multiply
    2,251.71x = 3,107.34 × 1,257.03
  4. Step 4: Simplify right side
    2,251.71x = 3,906,019.60
  5. Step 5: Solve for x
    x = 3,906,019.60/2,251.71
  6. Step 6: Final answer
    x = 1,734.69

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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.