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Finding the Fourth Proportional to 2,198.75, 3,298.49 and 966.13

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Solution

The fourth proportional to 2,198.75, 3,298.49 and 966.13 is: 1,449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.75 : 3,298.49 = 966.13 : x
  2. Step 2: Convert to fraction form
    2,198.75/3,298.49 = 966.13/x
  3. Step 3: Cross multiply
    2,198.75x = 3,298.49 × 966.13
  4. Step 4: Simplify right side
    2,198.75x = 3,186,770.14
  5. Step 5: Solve for x
    x = 3,186,770.14/2,198.75
  6. Step 6: Final answer
    x = 1,449.36

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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.