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Finding the Fourth Proportional to 2,843.37, 3,922.16 and 2,097.09

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Solution

The fourth proportional to 2,843.37, 3,922.16 and 2,097.09 is: 2,892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.37 : 3,922.16 = 2,097.09 : x
  2. Step 2: Convert to fraction form
    2,843.37/3,922.16 = 2,097.09/x
  3. Step 3: Cross multiply
    2,843.37x = 3,922.16 × 2,097.09
  4. Step 4: Simplify right side
    2,843.37x = 8,225,112.03
  5. Step 5: Solve for x
    x = 8,225,112.03/2,843.37
  6. Step 6: Final answer
    x = 2,892.73

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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.