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Finding the Fourth Proportional to 2,227.23, 3,341.31 and 766.41

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Solution

The fourth proportional to 2,227.23, 3,341.31 and 766.41 is: 1,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.23 : 3,341.31 = 766.41 : x
  2. Step 2: Convert to fraction form
    2,227.23/3,341.31 = 766.41/x
  3. Step 3: Cross multiply
    2,227.23x = 3,341.31 × 766.41
  4. Step 4: Simplify right side
    2,227.23x = 2,560,813.40
  5. Step 5: Solve for x
    x = 2,560,813.40/2,227.23
  6. Step 6: Final answer
    x = 1,149.78

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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.