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Finding the Fourth Proportional to 2,198.08, 3,297.45 and 736.90

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Solution

The fourth proportional to 2,198.08, 3,297.45 and 736.90 is: 1,105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.08 : 3,297.45 = 736.90 : x
  2. Step 2: Convert to fraction form
    2,198.08/3,297.45 = 736.90/x
  3. Step 3: Cross multiply
    2,198.08x = 3,297.45 × 736.90
  4. Step 4: Simplify right side
    2,198.08x = 2,429,890.91
  5. Step 5: Solve for x
    x = 2,429,890.91/2,198.08
  6. Step 6: Final answer
    x = 1,105.46

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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.