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Finding the Fourth Proportional to 2,272.72, 3,427.97 and 2,002.20

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Solution

The fourth proportional to 2,272.72, 3,427.97 and 2,002.20 is: 3,019.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.72 : 3,427.97 = 2,002.20 : x
  2. Step 2: Convert to fraction form
    2,272.72/3,427.97 = 2,002.20/x
  3. Step 3: Cross multiply
    2,272.72x = 3,427.97 × 2,002.20
  4. Step 4: Simplify right side
    2,272.72x = 6,863,481.53
  5. Step 5: Solve for x
    x = 6,863,481.53/2,272.72
  6. Step 6: Final answer
    x = 3,019.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.