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Finding the Fourth Proportional to 2,198.62, 3,297.93 and 737.78

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Solution

The fourth proportional to 2,198.62, 3,297.93 and 737.78 is: 1,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.62 : 3,297.93 = 737.78 : x
  2. Step 2: Convert to fraction form
    2,198.62/3,297.93 = 737.78/x
  3. Step 3: Cross multiply
    2,198.62x = 3,297.93 × 737.78
  4. Step 4: Simplify right side
    2,198.62x = 2,433,130.31
  5. Step 5: Solve for x
    x = 2,433,130.31/2,198.62
  6. Step 6: Final answer
    x = 1,106.66

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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.