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Finding the Fourth Proportional to 2,198.03, 3,297.60 and 1,550.03

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Solution

The fourth proportional to 2,198.03, 3,297.60 and 1,550.03 is: 2,325.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.03 : 3,297.60 = 1,550.03 : x
  2. Step 2: Convert to fraction form
    2,198.03/3,297.60 = 1,550.03/x
  3. Step 3: Cross multiply
    2,198.03x = 3,297.60 × 1,550.03
  4. Step 4: Simplify right side
    2,198.03x = 5,111,362.44
  5. Step 5: Solve for x
    x = 5,111,362.44/2,198.03
  6. Step 6: Final answer
    x = 2,325.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.