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Finding the Fourth Proportional to 2,687.26, 4,029.54 and 838

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Solution

The fourth proportional to 2,687.26, 4,029.54 and 838 is: 1,256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.26 : 4,029.54 = 838 : x
  2. Step 2: Convert to fraction form
    2,687.26/4,029.54 = 838/x
  3. Step 3: Cross multiply
    2,687.26x = 4,029.54 × 838
  4. Step 4: Simplify right side
    2,687.26x = 3,376,754.52
  5. Step 5: Solve for x
    x = 3,376,754.52/2,687.26
  6. Step 6: Final answer
    x = 1,256.58

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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.