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Finding the Fourth Proportional to 2,226.40, 3,340.12 and 765.56

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Solution

The fourth proportional to 2,226.40, 3,340.12 and 765.56 is: 1,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.40 : 3,340.12 = 765.56 : x
  2. Step 2: Convert to fraction form
    2,226.40/3,340.12 = 765.56/x
  3. Step 3: Cross multiply
    2,226.40x = 3,340.12 × 765.56
  4. Step 4: Simplify right side
    2,226.40x = 2,557,062.27
  5. Step 5: Solve for x
    x = 2,557,062.27/2,226.40
  6. Step 6: Final answer
    x = 1,148.52

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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.