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Finding the Fourth Proportional to 2,269.82, 3,144.97 and 2,220.62

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Solution

The fourth proportional to 2,269.82, 3,144.97 and 2,220.62 is: 3,076.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.82 : 3,144.97 = 2,220.62 : x
  2. Step 2: Convert to fraction form
    2,269.82/3,144.97 = 2,220.62/x
  3. Step 3: Cross multiply
    2,269.82x = 3,144.97 × 2,220.62
  4. Step 4: Simplify right side
    2,269.82x = 6,983,770.33
  5. Step 5: Solve for x
    x = 6,983,770.33/2,269.82
  6. Step 6: Final answer
    x = 3,076.79

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.