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Finding the Fourth Proportional to 2,765.96, 4,149.78 and 818.18

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Solution

The fourth proportional to 2,765.96, 4,149.78 and 818.18 is: 1,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.96 : 4,149.78 = 818.18 : x
  2. Step 2: Convert to fraction form
    2,765.96/4,149.78 = 818.18/x
  3. Step 3: Cross multiply
    2,765.96x = 4,149.78 × 818.18
  4. Step 4: Simplify right side
    2,765.96x = 3,395,267.00
  5. Step 5: Solve for x
    x = 3,395,267.00/2,765.96
  6. Step 6: Final answer
    x = 1,227.52

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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.