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Finding the Fourth Proportional to 2,198.83, 3,297.89 and 737.99

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Solution

The fourth proportional to 2,198.83, 3,297.89 and 737.99 is: 1,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.83 : 3,297.89 = 737.99 : x
  2. Step 2: Convert to fraction form
    2,198.83/3,297.89 = 737.99/x
  3. Step 3: Cross multiply
    2,198.83x = 3,297.89 × 737.99
  4. Step 4: Simplify right side
    2,198.83x = 2,433,806.15
  5. Step 5: Solve for x
    x = 2,433,806.15/2,198.83
  6. Step 6: Final answer
    x = 1,106.87

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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.