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Finding the Fourth Proportional to 2,081.12, 3,122.04 and 620.12

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Solution

The fourth proportional to 2,081.12, 3,122.04 and 620.12 is: 930.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.12 : 3,122.04 = 620.12 : x
  2. Step 2: Convert to fraction form
    2,081.12/3,122.04 = 620.12/x
  3. Step 3: Cross multiply
    2,081.12x = 3,122.04 × 620.12
  4. Step 4: Simplify right side
    2,081.12x = 1,936,039.44
  5. Step 5: Solve for x
    x = 1,936,039.44/2,081.12
  6. Step 6: Final answer
    x = 930.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.