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Finding the Fourth Proportional to 3,067.82, 4,233.54 and 1,741.43

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Solution

The fourth proportional to 3,067.82, 4,233.54 and 1,741.43 is: 2,403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.82 : 4,233.54 = 1,741.43 : x
  2. Step 2: Convert to fraction form
    3,067.82/4,233.54 = 1,741.43/x
  3. Step 3: Cross multiply
    3,067.82x = 4,233.54 × 1,741.43
  4. Step 4: Simplify right side
    3,067.82x = 7,372,425.78
  5. Step 5: Solve for x
    x = 7,372,425.78/3,067.82
  6. Step 6: Final answer
    x = 2,403.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.