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Finding the Fourth Proportional to 2,833.44, 3,906.96 and 2,320.80

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Solution

The fourth proportional to 2,833.44, 3,906.96 and 2,320.80 is: 3,200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.44 : 3,906.96 = 2,320.80 : x
  2. Step 2: Convert to fraction form
    2,833.44/3,906.96 = 2,320.80/x
  3. Step 3: Cross multiply
    2,833.44x = 3,906.96 × 2,320.80
  4. Step 4: Simplify right side
    2,833.44x = 9,067,272.77
  5. Step 5: Solve for x
    x = 9,067,272.77/2,833.44
  6. Step 6: Final answer
    x = 3,200.09

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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.