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Finding the Fourth Proportional to 2,077.29, 3,113.23 and 843.25

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Solution

The fourth proportional to 2,077.29, 3,113.23 and 843.25 is: 1,263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.29 : 3,113.23 = 843.25 : x
  2. Step 2: Convert to fraction form
    2,077.29/3,113.23 = 843.25/x
  3. Step 3: Cross multiply
    2,077.29x = 3,113.23 × 843.25
  4. Step 4: Simplify right side
    2,077.29x = 2,625,231.20
  5. Step 5: Solve for x
    x = 2,625,231.20/2,077.29
  6. Step 6: Final answer
    x = 1,263.78

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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.