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Finding the Fourth Proportional to 2,198.26, 3,297.70 and 737.06

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Solution

The fourth proportional to 2,198.26, 3,297.70 and 737.06 is: 1,105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.26 : 3,297.70 = 737.06 : x
  2. Step 2: Convert to fraction form
    2,198.26/3,297.70 = 737.06/x
  3. Step 3: Cross multiply
    2,198.26x = 3,297.70 × 737.06
  4. Step 4: Simplify right side
    2,198.26x = 2,430,602.76
  5. Step 5: Solve for x
    x = 2,430,602.76/2,198.26
  6. Step 6: Final answer
    x = 1,105.69

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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.