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Finding the Fourth Proportional to 2,222.67, 3,067.56 and 1,278.68

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Solution

The fourth proportional to 2,222.67, 3,067.56 and 1,278.68 is: 1,764.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.67 : 3,067.56 = 1,278.68 : x
  2. Step 2: Convert to fraction form
    2,222.67/3,067.56 = 1,278.68/x
  3. Step 3: Cross multiply
    2,222.67x = 3,067.56 × 1,278.68
  4. Step 4: Simplify right side
    2,222.67x = 3,922,421.23
  5. Step 5: Solve for x
    x = 3,922,421.23/2,222.67
  6. Step 6: Final answer
    x = 1,764.73

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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.