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Finding the Fourth Proportional to 2,081.29, 3,119.24 and 847.25

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Solution

The fourth proportional to 2,081.29, 3,119.24 and 847.25 is: 1,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.29 : 3,119.24 = 847.25 : x
  2. Step 2: Convert to fraction form
    2,081.29/3,119.24 = 847.25/x
  3. Step 3: Cross multiply
    2,081.29x = 3,119.24 × 847.25
  4. Step 4: Simplify right side
    2,081.29x = 2,642,771.85
  5. Step 5: Solve for x
    x = 2,642,771.85/2,081.29
  6. Step 6: Final answer
    x = 1,269.78

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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.