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Finding the Fourth Proportional to 2,198.07, 3,297.42 and 736.88

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Solution

The fourth proportional to 2,198.07, 3,297.42 and 736.88 is: 1,105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.07 : 3,297.42 = 736.88 : x
  2. Step 2: Convert to fraction form
    2,198.07/3,297.42 = 736.88/x
  3. Step 3: Cross multiply
    2,198.07x = 3,297.42 × 736.88
  4. Step 4: Simplify right side
    2,198.07x = 2,429,786.36
  5. Step 5: Solve for x
    x = 2,429,786.36/2,198.07
  6. Step 6: Final answer
    x = 1,105.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.