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Finding the Fourth Proportional to 2,198.12, 3,296.46 and 736.90

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Solution

The fourth proportional to 2,198.12, 3,296.46 and 736.90 is: 1,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.12 : 3,296.46 = 736.90 : x
  2. Step 2: Convert to fraction form
    2,198.12/3,296.46 = 736.90/x
  3. Step 3: Cross multiply
    2,198.12x = 3,296.46 × 736.90
  4. Step 4: Simplify right side
    2,198.12x = 2,429,161.37
  5. Step 5: Solve for x
    x = 2,429,161.37/2,198.12
  6. Step 6: Final answer
    x = 1,105.11

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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.