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Finding the Fourth Proportional to 3,067, 4,232.42 and 1,669.74

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Solution

The fourth proportional to 3,067, 4,232.42 and 1,669.74 is: 2,304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067 : 4,232.42 = 1,669.74 : x
  2. Step 2: Convert to fraction form
    3,067/4,232.42 = 1,669.74/x
  3. Step 3: Cross multiply
    3,067x = 4,232.42 × 1,669.74
  4. Step 4: Simplify right side
    3,067x = 7,067,040.97
  5. Step 5: Solve for x
    x = 7,067,040.97/3,067
  6. Step 6: Final answer
    x = 2,304.22

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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.