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Finding the Fourth Proportional to 2,550.15, 3,824.82 and 818.78

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Solution

The fourth proportional to 2,550.15, 3,824.82 and 818.78 is: 1,228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.15 : 3,824.82 = 818.78 : x
  2. Step 2: Convert to fraction form
    2,550.15/3,824.82 = 818.78/x
  3. Step 3: Cross multiply
    2,550.15x = 3,824.82 × 818.78
  4. Step 4: Simplify right side
    2,550.15x = 3,131,667.00
  5. Step 5: Solve for x
    x = 3,131,667.00/2,550.15
  6. Step 6: Final answer
    x = 1,228.03

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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.