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Finding the Fourth Proportional to 2,198.33, 3,297.66 and 737.47

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Solution

The fourth proportional to 2,198.33, 3,297.66 and 737.47 is: 1,106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.33 : 3,297.66 = 737.47 : x
  2. Step 2: Convert to fraction form
    2,198.33/3,297.66 = 737.47/x
  3. Step 3: Cross multiply
    2,198.33x = 3,297.66 × 737.47
  4. Step 4: Simplify right side
    2,198.33x = 2,431,925.32
  5. Step 5: Solve for x
    x = 2,431,925.32/2,198.33
  6. Step 6: Final answer
    x = 1,106.26

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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.