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Finding the Fourth Proportional to 2,843.36, 3,922.72 and 2,099.12

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Solution

The fourth proportional to 2,843.36, 3,922.72 and 2,099.12 is: 2,895.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.36 : 3,922.72 = 2,099.12 : x
  2. Step 2: Convert to fraction form
    2,843.36/3,922.72 = 2,099.12/x
  3. Step 3: Cross multiply
    2,843.36x = 3,922.72 × 2,099.12
  4. Step 4: Simplify right side
    2,843.36x = 8,234,260.01
  5. Step 5: Solve for x
    x = 8,234,260.01/2,843.36
  6. Step 6: Final answer
    x = 2,895.96

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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.