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Finding the Fourth Proportional to 2,198.57, 3,297.04 and 965.34

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Solution

The fourth proportional to 2,198.57, 3,297.04 and 965.34 is: 1,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.57 : 3,297.04 = 965.34 : x
  2. Step 2: Convert to fraction form
    2,198.57/3,297.04 = 965.34/x
  3. Step 3: Cross multiply
    2,198.57x = 3,297.04 × 965.34
  4. Step 4: Simplify right side
    2,198.57x = 3,182,764.59
  5. Step 5: Solve for x
    x = 3,182,764.59/2,198.57
  6. Step 6: Final answer
    x = 1,447.65

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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.