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Finding the Fourth Proportional to 2,081.40, 3,120.96 and 620.34

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Solution

The fourth proportional to 2,081.40, 3,120.96 and 620.34 is: 930.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.40 : 3,120.96 = 620.34 : x
  2. Step 2: Convert to fraction form
    2,081.40/3,120.96 = 620.34/x
  3. Step 3: Cross multiply
    2,081.40x = 3,120.96 × 620.34
  4. Step 4: Simplify right side
    2,081.40x = 1,936,056.33
  5. Step 5: Solve for x
    x = 1,936,056.33/2,081.40
  6. Step 6: Final answer
    x = 930.17

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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.