Home / 2,076.06-3,114.10-843.18

Finding the Fourth Proportional to 2,076.06, 3,114.10 and 843.18

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Solution

The fourth proportional to 2,076.06, 3,114.10 and 843.18 is: 1,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.06 : 3,114.10 = 843.18 : x
  2. Step 2: Convert to fraction form
    2,076.06/3,114.10 = 843.18/x
  3. Step 3: Cross multiply
    2,076.06x = 3,114.10 × 843.18
  4. Step 4: Simplify right side
    2,076.06x = 2,625,757.75
  5. Step 5: Solve for x
    x = 2,625,757.75/2,076.06
  6. Step 6: Final answer
    x = 1,264.78

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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.