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Finding the Fourth Proportional to 2,203.97, 3,304.47 and 1,162.88

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Solution

The fourth proportional to 2,203.97, 3,304.47 and 1,162.88 is: 1,743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.97 : 3,304.47 = 1,162.88 : x
  2. Step 2: Convert to fraction form
    2,203.97/3,304.47 = 1,162.88/x
  3. Step 3: Cross multiply
    2,203.97x = 3,304.47 × 1,162.88
  4. Step 4: Simplify right side
    2,203.97x = 3,842,685.55
  5. Step 5: Solve for x
    x = 3,842,685.55/2,203.97
  6. Step 6: Final answer
    x = 1,743.53

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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.