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Finding the Fourth Proportional to 2,049.97, 3,074.24 and 1,268.77

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Solution

The fourth proportional to 2,049.97, 3,074.24 and 1,268.77 is: 1,902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.97 : 3,074.24 = 1,268.77 : x
  2. Step 2: Convert to fraction form
    2,049.97/3,074.24 = 1,268.77/x
  3. Step 3: Cross multiply
    2,049.97x = 3,074.24 × 1,268.77
  4. Step 4: Simplify right side
    2,049.97x = 3,900,503.48
  5. Step 5: Solve for x
    x = 3,900,503.48/2,049.97
  6. Step 6: Final answer
    x = 1,902.71

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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.