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Finding the Fourth Proportional to 2,517.33, 3,474.84 and 2,161.82

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Solution

The fourth proportional to 2,517.33, 3,474.84 and 2,161.82 is: 2,984.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.33 : 3,474.84 = 2,161.82 : x
  2. Step 2: Convert to fraction form
    2,517.33/3,474.84 = 2,161.82/x
  3. Step 3: Cross multiply
    2,517.33x = 3,474.84 × 2,161.82
  4. Step 4: Simplify right side
    2,517.33x = 7,511,975.56
  5. Step 5: Solve for x
    x = 7,511,975.56/2,517.33
  6. Step 6: Final answer
    x = 2,984.11

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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.