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Finding the Fourth Proportional to 2,198.96, 3,296.14 and 965.33

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Solution

The fourth proportional to 2,198.96, 3,296.14 and 965.33 is: 1,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.96 : 3,296.14 = 965.33 : x
  2. Step 2: Convert to fraction form
    2,198.96/3,296.14 = 965.33/x
  3. Step 3: Cross multiply
    2,198.96x = 3,296.14 × 965.33
  4. Step 4: Simplify right side
    2,198.96x = 3,181,843.93
  5. Step 5: Solve for x
    x = 3,181,843.93/2,198.96
  6. Step 6: Final answer
    x = 1,446.98

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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.