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Finding the Fourth Proportional to 2,054.28, 3,081.15 and 737.97

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Solution

The fourth proportional to 2,054.28, 3,081.15 and 737.97 is: 1,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.28 : 3,081.15 = 737.97 : x
  2. Step 2: Convert to fraction form
    2,054.28/3,081.15 = 737.97/x
  3. Step 3: Cross multiply
    2,054.28x = 3,081.15 × 737.97
  4. Step 4: Simplify right side
    2,054.28x = 2,273,796.27
  5. Step 5: Solve for x
    x = 2,273,796.27/2,054.28
  6. Step 6: Final answer
    x = 1,106.86

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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.