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Finding the Fourth Proportional to 2,251.12, 3,375.54 and 1,314.38

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Solution

The fourth proportional to 2,251.12, 3,375.54 and 1,314.38 is: 1,970.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.12 : 3,375.54 = 1,314.38 : x
  2. Step 2: Convert to fraction form
    2,251.12/3,375.54 = 1,314.38/x
  3. Step 3: Cross multiply
    2,251.12x = 3,375.54 × 1,314.38
  4. Step 4: Simplify right side
    2,251.12x = 4,436,742.27
  5. Step 5: Solve for x
    x = 4,436,742.27/2,251.12
  6. Step 6: Final answer
    x = 1,970.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.