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Finding the Fourth Proportional to 2,198.44, 3,297.98 and 659.56

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Solution

The fourth proportional to 2,198.44, 3,297.98 and 659.56 is: 989.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.44 : 3,297.98 = 659.56 : x
  2. Step 2: Convert to fraction form
    2,198.44/3,297.98 = 659.56/x
  3. Step 3: Cross multiply
    2,198.44x = 3,297.98 × 659.56
  4. Step 4: Simplify right side
    2,198.44x = 2,175,215.69
  5. Step 5: Solve for x
    x = 2,175,215.69/2,198.44
  6. Step 6: Final answer
    x = 989.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.