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Finding the Fourth Proportional to 2,203.97, 3,305.96 and 817.31

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Solution

The fourth proportional to 2,203.97, 3,305.96 and 817.31 is: 1,225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.97 : 3,305.96 = 817.31 : x
  2. Step 2: Convert to fraction form
    2,203.97/3,305.96 = 817.31/x
  3. Step 3: Cross multiply
    2,203.97x = 3,305.96 × 817.31
  4. Step 4: Simplify right side
    2,203.97x = 2,701,973.55
  5. Step 5: Solve for x
    x = 2,701,973.55/2,203.97
  6. Step 6: Final answer
    x = 1,225.96

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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.