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Finding the Fourth Proportional to 2,067.67, 2,836.51 and 2,005.24

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Solution

The fourth proportional to 2,067.67, 2,836.51 and 2,005.24 is: 2,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.67 : 2,836.51 = 2,005.24 : x
  2. Step 2: Convert to fraction form
    2,067.67/2,836.51 = 2,005.24/x
  3. Step 3: Cross multiply
    2,067.67x = 2,836.51 × 2,005.24
  4. Step 4: Simplify right side
    2,067.67x = 5,687,883.31
  5. Step 5: Solve for x
    x = 5,687,883.31/2,067.67
  6. Step 6: Final answer
    x = 2,750.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.