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Finding the Fourth Proportional to 2,067.86, 3,100.29 and 971.61

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Solution

The fourth proportional to 2,067.86, 3,100.29 and 971.61 is: 1,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.86 : 3,100.29 = 971.61 : x
  2. Step 2: Convert to fraction form
    2,067.86/3,100.29 = 971.61/x
  3. Step 3: Cross multiply
    2,067.86x = 3,100.29 × 971.61
  4. Step 4: Simplify right side
    2,067.86x = 3,012,272.77
  5. Step 5: Solve for x
    x = 3,012,272.77/2,067.86
  6. Step 6: Final answer
    x = 1,456.71

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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.