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Finding the Fourth Proportional to 2,076.11, 3,115.39 and 843.43

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Solution

The fourth proportional to 2,076.11, 3,115.39 and 843.43 is: 1,265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.11 : 3,115.39 = 843.43 : x
  2. Step 2: Convert to fraction form
    2,076.11/3,115.39 = 843.43/x
  3. Step 3: Cross multiply
    2,076.11x = 3,115.39 × 843.43
  4. Step 4: Simplify right side
    2,076.11x = 2,627,599.92
  5. Step 5: Solve for x
    x = 2,627,599.92/2,076.11
  6. Step 6: Final answer
    x = 1,265.64

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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.