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Finding the Fourth Proportional to 2,067.86, 3,101.49 and 835.25

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Solution

The fourth proportional to 2,067.86, 3,101.49 and 835.25 is: 1,252.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.86 : 3,101.49 = 835.25 : x
  2. Step 2: Convert to fraction form
    2,067.86/3,101.49 = 835.25/x
  3. Step 3: Cross multiply
    2,067.86x = 3,101.49 × 835.25
  4. Step 4: Simplify right side
    2,067.86x = 2,590,504.02
  5. Step 5: Solve for x
    x = 2,590,504.02/2,067.86
  6. Step 6: Final answer
    x = 1,252.74

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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.