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Finding the Fourth Proportional to 2,550.80, 3,825.30 and 818.84

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Solution

The fourth proportional to 2,550.80, 3,825.30 and 818.84 is: 1,227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.80 : 3,825.30 = 818.84 : x
  2. Step 2: Convert to fraction form
    2,550.80/3,825.30 = 818.84/x
  3. Step 3: Cross multiply
    2,550.80x = 3,825.30 × 818.84
  4. Step 4: Simplify right side
    2,550.80x = 3,132,308.65
  5. Step 5: Solve for x
    x = 3,132,308.65/2,550.80
  6. Step 6: Final answer
    x = 1,227.97

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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.