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Finding the Fourth Proportional to 2,550.42, 3,824.82 and 818.64

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Solution

The fourth proportional to 2,550.42, 3,824.82 and 818.64 is: 1,227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.42 : 3,824.82 = 818.64 : x
  2. Step 2: Convert to fraction form
    2,550.42/3,824.82 = 818.64/x
  3. Step 3: Cross multiply
    2,550.42x = 3,824.82 × 818.64
  4. Step 4: Simplify right side
    2,550.42x = 3,131,150.64
  5. Step 5: Solve for x
    x = 3,131,150.64/2,550.42
  6. Step 6: Final answer
    x = 1,227.70

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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.