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Finding the Fourth Proportional to 3,067.12, 4,232.54 and 1,669.88

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Solution

The fourth proportional to 3,067.12, 4,232.54 and 1,669.88 is: 2,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.12 : 4,232.54 = 1,669.88 : x
  2. Step 2: Convert to fraction form
    3,067.12/4,232.54 = 1,669.88/x
  3. Step 3: Cross multiply
    3,067.12x = 4,232.54 × 1,669.88
  4. Step 4: Simplify right side
    3,067.12x = 7,067,833.90
  5. Step 5: Solve for x
    x = 7,067,833.90/3,067.12
  6. Step 6: Final answer
    x = 2,304.39

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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.