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Finding the Fourth Proportional to 2,226.99, 3,340.82 and 766.56

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Solution

The fourth proportional to 2,226.99, 3,340.82 and 766.56 is: 1,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.99 : 3,340.82 = 766.56 : x
  2. Step 2: Convert to fraction form
    2,226.99/3,340.82 = 766.56/x
  3. Step 3: Cross multiply
    2,226.99x = 3,340.82 × 766.56
  4. Step 4: Simplify right side
    2,226.99x = 2,560,938.98
  5. Step 5: Solve for x
    x = 2,560,938.98/2,226.99
  6. Step 6: Final answer
    x = 1,149.96

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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.