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Finding the Fourth Proportional to 2,067.82, 3,101.74 and 1,027.58

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Solution

The fourth proportional to 2,067.82, 3,101.74 and 1,027.58 is: 1,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.82 : 3,101.74 = 1,027.58 : x
  2. Step 2: Convert to fraction form
    2,067.82/3,101.74 = 1,027.58/x
  3. Step 3: Cross multiply
    2,067.82x = 3,101.74 × 1,027.58
  4. Step 4: Simplify right side
    2,067.82x = 3,187,270.48
  5. Step 5: Solve for x
    x = 3,187,270.48/2,067.82
  6. Step 6: Final answer
    x = 1,541.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.