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Finding the Fourth Proportional to 2,251.50, 3,107.01 and 1,256.75

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Solution

The fourth proportional to 2,251.50, 3,107.01 and 1,256.75 is: 1,734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.50 : 3,107.01 = 1,256.75 : x
  2. Step 2: Convert to fraction form
    2,251.50/3,107.01 = 1,256.75/x
  3. Step 3: Cross multiply
    2,251.50x = 3,107.01 × 1,256.75
  4. Step 4: Simplify right side
    2,251.50x = 3,904,734.82
  5. Step 5: Solve for x
    x = 3,904,734.82/2,251.50
  6. Step 6: Final answer
    x = 1,734.28

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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.