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Finding the Fourth Proportional to 3,115.76, 4,297.73 and 2,067.84

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Solution

The fourth proportional to 3,115.76, 4,297.73 and 2,067.84 is: 2,852.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.76 : 4,297.73 = 2,067.84 : x
  2. Step 2: Convert to fraction form
    3,115.76/4,297.73 = 2,067.84/x
  3. Step 3: Cross multiply
    3,115.76x = 4,297.73 × 2,067.84
  4. Step 4: Simplify right side
    3,115.76x = 8,887,007.66
  5. Step 5: Solve for x
    x = 8,887,007.66/3,115.76
  6. Step 6: Final answer
    x = 2,852.28

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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.