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Finding the Fourth Proportional to 2,231.97, 3,352.82 and 1,822.11

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Solution

The fourth proportional to 2,231.97, 3,352.82 and 1,822.11 is: 2,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.97 : 3,352.82 = 1,822.11 : x
  2. Step 2: Convert to fraction form
    2,231.97/3,352.82 = 1,822.11/x
  3. Step 3: Cross multiply
    2,231.97x = 3,352.82 × 1,822.11
  4. Step 4: Simplify right side
    2,231.97x = 6,109,197.74
  5. Step 5: Solve for x
    x = 6,109,197.74/2,231.97
  6. Step 6: Final answer
    x = 2,737.13

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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.