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Finding the Fourth Proportional to 2,227.15, 3,340.69 and 766.31

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Solution

The fourth proportional to 2,227.15, 3,340.69 and 766.31 is: 1,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.15 : 3,340.69 = 766.31 : x
  2. Step 2: Convert to fraction form
    2,227.15/3,340.69 = 766.31/x
  3. Step 3: Cross multiply
    2,227.15x = 3,340.69 × 766.31
  4. Step 4: Simplify right side
    2,227.15x = 2,560,000.32
  5. Step 5: Solve for x
    x = 2,560,000.32/2,227.15
  6. Step 6: Final answer
    x = 1,149.45

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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.