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Finding the Fourth Proportional to 2,251.60, 3,107.26 and 1,256.86

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Solution

The fourth proportional to 2,251.60, 3,107.26 and 1,256.86 is: 1,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.60 : 3,107.26 = 1,256.86 : x
  2. Step 2: Convert to fraction form
    2,251.60/3,107.26 = 1,256.86/x
  3. Step 3: Cross multiply
    2,251.60x = 3,107.26 × 1,256.86
  4. Step 4: Simplify right side
    2,251.60x = 3,905,390.80
  5. Step 5: Solve for x
    x = 3,905,390.80/2,251.60
  6. Step 6: Final answer
    x = 1,734.50

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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.