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Finding the Fourth Proportional to 2,067.12, 2,835.54 and 2,023.92

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Solution

The fourth proportional to 2,067.12, 2,835.54 and 2,023.92 is: 2,776.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.12 : 2,835.54 = 2,023.92 : x
  2. Step 2: Convert to fraction form
    2,067.12/2,835.54 = 2,023.92/x
  3. Step 3: Cross multiply
    2,067.12x = 2,835.54 × 2,023.92
  4. Step 4: Simplify right side
    2,067.12x = 5,738,906.12
  5. Step 5: Solve for x
    x = 5,738,906.12/2,067.12
  6. Step 6: Final answer
    x = 2,776.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.