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Finding the Fourth Proportional to 2,076.38, 3,114.56 and 843.78

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Solution

The fourth proportional to 2,076.38, 3,114.56 and 843.78 is: 1,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.38 : 3,114.56 = 843.78 : x
  2. Step 2: Convert to fraction form
    2,076.38/3,114.56 = 843.78/x
  3. Step 3: Cross multiply
    2,076.38x = 3,114.56 × 843.78
  4. Step 4: Simplify right side
    2,076.38x = 2,628,003.44
  5. Step 5: Solve for x
    x = 2,628,003.44/2,076.38
  6. Step 6: Final answer
    x = 1,265.67

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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.