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Finding the Fourth Proportional to 2,226.12, 3,338.96 and 765.38

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Solution

The fourth proportional to 2,226.12, 3,338.96 and 765.38 is: 1,147.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.12 : 3,338.96 = 765.38 : x
  2. Step 2: Convert to fraction form
    2,226.12/3,338.96 = 765.38/x
  3. Step 3: Cross multiply
    2,226.12x = 3,338.96 × 765.38
  4. Step 4: Simplify right side
    2,226.12x = 2,555,552.68
  5. Step 5: Solve for x
    x = 2,555,552.68/2,226.12
  6. Step 6: Final answer
    x = 1,147.99

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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.