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Finding the Fourth Proportional to 2,550.27, 3,825.41 and 1,251.44

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Solution

The fourth proportional to 2,550.27, 3,825.41 and 1,251.44 is: 1,877.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.27 : 3,825.41 = 1,251.44 : x
  2. Step 2: Convert to fraction form
    2,550.27/3,825.41 = 1,251.44/x
  3. Step 3: Cross multiply
    2,550.27x = 3,825.41 × 1,251.44
  4. Step 4: Simplify right side
    2,550.27x = 4,787,271.09
  5. Step 5: Solve for x
    x = 4,787,271.09/2,550.27
  6. Step 6: Final answer
    x = 1,877.16

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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.