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Finding the Fourth Proportional to 2,076.29, 3,114.53 and 843.06

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Solution

The fourth proportional to 2,076.29, 3,114.53 and 843.06 is: 1,264.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.29 : 3,114.53 = 843.06 : x
  2. Step 2: Convert to fraction form
    2,076.29/3,114.53 = 843.06/x
  3. Step 3: Cross multiply
    2,076.29x = 3,114.53 × 843.06
  4. Step 4: Simplify right side
    2,076.29x = 2,625,735.66
  5. Step 5: Solve for x
    x = 2,625,735.66/2,076.29
  6. Step 6: Final answer
    x = 1,264.63

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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.