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Finding the Fourth Proportional to 2,199.12, 3,297.42 and 737.48

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Solution

The fourth proportional to 2,199.12, 3,297.42 and 737.48 is: 1,105.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.12 : 3,297.42 = 737.48 : x
  2. Step 2: Convert to fraction form
    2,199.12/3,297.42 = 737.48/x
  3. Step 3: Cross multiply
    2,199.12x = 3,297.42 × 737.48
  4. Step 4: Simplify right side
    2,199.12x = 2,431,764.81
  5. Step 5: Solve for x
    x = 2,431,764.81/2,199.12
  6. Step 6: Final answer
    x = 1,105.79

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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.