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Finding the Fourth Proportional to 2,817.26, 4,229.36 and 1,826.83

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Solution

The fourth proportional to 2,817.26, 4,229.36 and 1,826.83 is: 2,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.26 : 4,229.36 = 1,826.83 : x
  2. Step 2: Convert to fraction form
    2,817.26/4,229.36 = 1,826.83/x
  3. Step 3: Cross multiply
    2,817.26x = 4,229.36 × 1,826.83
  4. Step 4: Simplify right side
    2,817.26x = 7,726,321.73
  5. Step 5: Solve for x
    x = 7,726,321.73/2,817.26
  6. Step 6: Final answer
    x = 2,742.50

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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.