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Finding the Fourth Proportional to 2,251.26, 3,106.80 and 1,256.73

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Solution

The fourth proportional to 2,251.26, 3,106.80 and 1,256.73 is: 1,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.26 : 3,106.80 = 1,256.73 : x
  2. Step 2: Convert to fraction form
    2,251.26/3,106.80 = 1,256.73/x
  3. Step 3: Cross multiply
    2,251.26x = 3,106.80 × 1,256.73
  4. Step 4: Simplify right side
    2,251.26x = 3,904,402.48
  5. Step 5: Solve for x
    x = 3,904,402.48/2,251.26
  6. Step 6: Final answer
    x = 1,734.32

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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.