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Finding the Fourth Proportional to 2,198.02, 3,033.04 and 1,203.31

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Solution

The fourth proportional to 2,198.02, 3,033.04 and 1,203.31 is: 1,660.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.02 : 3,033.04 = 1,203.31 : x
  2. Step 2: Convert to fraction form
    2,198.02/3,033.04 = 1,203.31/x
  3. Step 3: Cross multiply
    2,198.02x = 3,033.04 × 1,203.31
  4. Step 4: Simplify right side
    2,198.02x = 3,649,687.36
  5. Step 5: Solve for x
    x = 3,649,687.36/2,198.02
  6. Step 6: Final answer
    x = 1,660.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.