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Finding the Fourth Proportional to 2,198.29, 3,297.33 and 638.24

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Solution

The fourth proportional to 2,198.29, 3,297.33 and 638.24 is: 957.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.29 : 3,297.33 = 638.24 : x
  2. Step 2: Convert to fraction form
    2,198.29/3,297.33 = 638.24/x
  3. Step 3: Cross multiply
    2,198.29x = 3,297.33 × 638.24
  4. Step 4: Simplify right side
    2,198.29x = 2,104,487.90
  5. Step 5: Solve for x
    x = 2,104,487.90/2,198.29
  6. Step 6: Final answer
    x = 957.33

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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.