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Finding the Fourth Proportional to 2,067.12, 2,851.20 and 1,978.56

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Solution

The fourth proportional to 2,067.12, 2,851.20 and 1,978.56 is: 2,729.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.12 : 2,851.20 = 1,978.56 : x
  2. Step 2: Convert to fraction form
    2,067.12/2,851.20 = 1,978.56/x
  3. Step 3: Cross multiply
    2,067.12x = 2,851.20 × 1,978.56
  4. Step 4: Simplify right side
    2,067.12x = 5,641,270.27
  5. Step 5: Solve for x
    x = 5,641,270.27/2,067.12
  6. Step 6: Final answer
    x = 2,729.05

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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.