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Finding the Fourth Proportional to 2,198.48, 3,297.64 and 737.59

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Solution

The fourth proportional to 2,198.48, 3,297.64 and 737.59 is: 1,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.48 : 3,297.64 = 737.59 : x
  2. Step 2: Convert to fraction form
    2,198.48/3,297.64 = 737.59/x
  3. Step 3: Cross multiply
    2,198.48x = 3,297.64 × 737.59
  4. Step 4: Simplify right side
    2,198.48x = 2,432,306.29
  5. Step 5: Solve for x
    x = 2,432,306.29/2,198.48
  6. Step 6: Final answer
    x = 1,106.36

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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.