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Finding the Fourth Proportional to 2,773.40, 3,824.74 and 2,067

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Solution

The fourth proportional to 2,773.40, 3,824.74 and 2,067 is: 2,850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.40 : 3,824.74 = 2,067 : x
  2. Step 2: Convert to fraction form
    2,773.40/3,824.74 = 2,067/x
  3. Step 3: Cross multiply
    2,773.40x = 3,824.74 × 2,067
  4. Step 4: Simplify right side
    2,773.40x = 7,905,737.58
  5. Step 5: Solve for x
    x = 7,905,737.58/2,773.40
  6. Step 6: Final answer
    x = 2,850.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.