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Finding the Fourth Proportional to 2,203.26, 3,305.09 and 798.03

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Solution

The fourth proportional to 2,203.26, 3,305.09 and 798.03 is: 1,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.26 : 3,305.09 = 798.03 : x
  2. Step 2: Convert to fraction form
    2,203.26/3,305.09 = 798.03/x
  3. Step 3: Cross multiply
    2,203.26x = 3,305.09 × 798.03
  4. Step 4: Simplify right side
    2,203.26x = 2,637,560.97
  5. Step 5: Solve for x
    x = 2,637,560.97/2,203.26
  6. Step 6: Final answer
    x = 1,197.12

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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.