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Finding the Fourth Proportional to 3,270.50, 4,517 and 2,220.74

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Solution

The fourth proportional to 3,270.50, 4,517 and 2,220.74 is: 3,067.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.50 : 4,517 = 2,220.74 : x
  2. Step 2: Convert to fraction form
    3,270.50/4,517 = 2,220.74/x
  3. Step 3: Cross multiply
    3,270.50x = 4,517 × 2,220.74
  4. Step 4: Simplify right side
    3,270.50x = 10,031,082.58
  5. Step 5: Solve for x
    x = 10,031,082.58/3,270.50
  6. Step 6: Final answer
    x = 3,067.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.