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Finding the Fourth Proportional to 2,198.68, 3,297.22 and 638.26

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Solution

The fourth proportional to 2,198.68, 3,297.22 and 638.26 is: 957.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.68 : 3,297.22 = 638.26 : x
  2. Step 2: Convert to fraction form
    2,198.68/3,297.22 = 638.26/x
  3. Step 3: Cross multiply
    2,198.68x = 3,297.22 × 638.26
  4. Step 4: Simplify right side
    2,198.68x = 2,104,473.80
  5. Step 5: Solve for x
    x = 2,104,473.80/2,198.68
  6. Step 6: Final answer
    x = 957.15

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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.