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Finding the Fourth Proportional to 3,278.70, 4,915.14 and 1,198.32

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Solution

The fourth proportional to 3,278.70, 4,915.14 and 1,198.32 is: 1,796.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.70 : 4,915.14 = 1,198.32 : x
  2. Step 2: Convert to fraction form
    3,278.70/4,915.14 = 1,198.32/x
  3. Step 3: Cross multiply
    3,278.70x = 4,915.14 × 1,198.32
  4. Step 4: Simplify right side
    3,278.70x = 5,889,910.56
  5. Step 5: Solve for x
    x = 5,889,910.56/3,278.70
  6. Step 6: Final answer
    x = 1,796.42

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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.