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Finding the Fourth Proportional to 2,081.05, 3,122.06 and 620.23

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Solution

The fourth proportional to 2,081.05, 3,122.06 and 620.23 is: 930.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.05 : 3,122.06 = 620.23 : x
  2. Step 2: Convert to fraction form
    2,081.05/3,122.06 = 620.23/x
  3. Step 3: Cross multiply
    2,081.05x = 3,122.06 × 620.23
  4. Step 4: Simplify right side
    2,081.05x = 1,936,393.71
  5. Step 5: Solve for x
    x = 1,936,393.71/2,081.05
  6. Step 6: Final answer
    x = 930.49

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Why These Related Problems?

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