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Finding the Fourth Proportional to 2,251.24, 3,106.71 and 1,256.71

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Solution

The fourth proportional to 2,251.24, 3,106.71 and 1,256.71 is: 1,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.24 : 3,106.71 = 1,256.71 : x
  2. Step 2: Convert to fraction form
    2,251.24/3,106.71 = 1,256.71/x
  3. Step 3: Cross multiply
    2,251.24x = 3,106.71 × 1,256.71
  4. Step 4: Simplify right side
    2,251.24x = 3,904,233.52
  5. Step 5: Solve for x
    x = 3,904,233.52/2,251.24
  6. Step 6: Final answer
    x = 1,734.26

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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.