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Finding the Fourth Proportional to 2,198.52, 3,299.10 and 966

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Solution

The fourth proportional to 2,198.52, 3,299.10 and 966 is: 1,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.52 : 3,299.10 = 966 : x
  2. Step 2: Convert to fraction form
    2,198.52/3,299.10 = 966/x
  3. Step 3: Cross multiply
    2,198.52x = 3,299.10 × 966
  4. Step 4: Simplify right side
    2,198.52x = 3,186,930.60
  5. Step 5: Solve for x
    x = 3,186,930.60/2,198.52
  6. Step 6: Final answer
    x = 1,449.58

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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.