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Finding the Fourth Proportional to 2,081.23, 3,121.84 and 620.27

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Solution

The fourth proportional to 2,081.23, 3,121.84 and 620.27 is: 930.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.23 : 3,121.84 = 620.27 : x
  2. Step 2: Convert to fraction form
    2,081.23/3,121.84 = 620.27/x
  3. Step 3: Cross multiply
    2,081.23x = 3,121.84 × 620.27
  4. Step 4: Simplify right side
    2,081.23x = 1,936,371.79
  5. Step 5: Solve for x
    x = 1,936,371.79/2,081.23
  6. Step 6: Final answer
    x = 930.40

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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.