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Finding the Fourth Proportional to 1,251.58, 1,873.74 and 944.74

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Solution

The fourth proportional to 1,251.58, 1,873.74 and 944.74 is: 1,414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.58 : 1,873.74 = 944.74 : x
  2. Step 2: Convert to fraction form
    1,251.58/1,873.74 = 944.74/x
  3. Step 3: Cross multiply
    1,251.58x = 1,873.74 × 944.74
  4. Step 4: Simplify right side
    1,251.58x = 1,770,197.13
  5. Step 5: Solve for x
    x = 1,770,197.13/1,251.58
  6. Step 6: Final answer
    x = 1,414.37

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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.