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Finding the Fourth Proportional to 2,550.65, 3,827.72 and 1,251.41

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Solution

The fourth proportional to 2,550.65, 3,827.72 and 1,251.41 is: 1,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.65 : 3,827.72 = 1,251.41 : x
  2. Step 2: Convert to fraction form
    2,550.65/3,827.72 = 1,251.41/x
  3. Step 3: Cross multiply
    2,550.65x = 3,827.72 × 1,251.41
  4. Step 4: Simplify right side
    2,550.65x = 4,790,031.08
  5. Step 5: Solve for x
    x = 4,790,031.08/2,550.65
  6. Step 6: Final answer
    x = 1,877.97

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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.