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Finding the Fourth Proportional to 2,198.40, 3,297.78 and 737.55

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Solution

The fourth proportional to 2,198.40, 3,297.78 and 737.55 is: 1,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.40 : 3,297.78 = 737.55 : x
  2. Step 2: Convert to fraction form
    2,198.40/3,297.78 = 737.55/x
  3. Step 3: Cross multiply
    2,198.40x = 3,297.78 × 737.55
  4. Step 4: Simplify right side
    2,198.40x = 2,432,277.64
  5. Step 5: Solve for x
    x = 2,432,277.64/2,198.40
  6. Step 6: Final answer
    x = 1,106.39

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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.