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Finding the Fourth Proportional to 2,227.59, 3,341.97 and 766.85

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Solution

The fourth proportional to 2,227.59, 3,341.97 and 766.85 is: 1,150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.59 : 3,341.97 = 766.85 : x
  2. Step 2: Convert to fraction form
    2,227.59/3,341.97 = 766.85/x
  3. Step 3: Cross multiply
    2,227.59x = 3,341.97 × 766.85
  4. Step 4: Simplify right side
    2,227.59x = 2,562,772.98
  5. Step 5: Solve for x
    x = 2,562,772.98/2,227.59
  6. Step 6: Final answer
    x = 1,150.47

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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.