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Finding the Fourth Proportional to 1,843.11, 2,764.38 and 610.54

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Solution

The fourth proportional to 1,843.11, 2,764.38 and 610.54 is: 915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.11 : 2,764.38 = 610.54 : x
  2. Step 2: Convert to fraction form
    1,843.11/2,764.38 = 610.54/x
  3. Step 3: Cross multiply
    1,843.11x = 2,764.38 × 610.54
  4. Step 4: Simplify right side
    1,843.11x = 1,687,759.94
  5. Step 5: Solve for x
    x = 1,687,759.94/1,843.11
  6. Step 6: Final answer
    x = 915.71

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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.