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Finding the Fourth Proportional to 2,198.32, 3,297.48 and 659.68

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Solution

The fourth proportional to 2,198.32, 3,297.48 and 659.68 is: 989.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.32 : 3,297.48 = 659.68 : x
  2. Step 2: Convert to fraction form
    2,198.32/3,297.48 = 659.68/x
  3. Step 3: Cross multiply
    2,198.32x = 3,297.48 × 659.68
  4. Step 4: Simplify right side
    2,198.32x = 2,175,281.61
  5. Step 5: Solve for x
    x = 2,175,281.61/2,198.32
  6. Step 6: Final answer
    x = 989.52

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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.