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Finding the Fourth Proportional to 1,836.26, 2,754.83 and 537.70

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Solution

The fourth proportional to 1,836.26, 2,754.83 and 537.70 is: 806.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.26 : 2,754.83 = 537.70 : x
  2. Step 2: Convert to fraction form
    1,836.26/2,754.83 = 537.70/x
  3. Step 3: Cross multiply
    1,836.26x = 2,754.83 × 537.70
  4. Step 4: Simplify right side
    1,836.26x = 1,481,272.09
  5. Step 5: Solve for x
    x = 1,481,272.09/1,836.26
  6. Step 6: Final answer
    x = 806.68

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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.