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Finding the Fourth Proportional to 2,822.30, 3,893.54 and 1,983.55

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Solution

The fourth proportional to 2,822.30, 3,893.54 and 1,983.55 is: 2,736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.30 : 3,893.54 = 1,983.55 : x
  2. Step 2: Convert to fraction form
    2,822.30/3,893.54 = 1,983.55/x
  3. Step 3: Cross multiply
    2,822.30x = 3,893.54 × 1,983.55
  4. Step 4: Simplify right side
    2,822.30x = 7,723,034.97
  5. Step 5: Solve for x
    x = 7,723,034.97/2,822.30
  6. Step 6: Final answer
    x = 2,736.44

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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.