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Finding the Fourth Proportional to 2,823.82, 4,236 and 743.83

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Solution

The fourth proportional to 2,823.82, 4,236 and 743.83 is: 1,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.82 : 4,236 = 743.83 : x
  2. Step 2: Convert to fraction form
    2,823.82/4,236 = 743.83/x
  3. Step 3: Cross multiply
    2,823.82x = 4,236 × 743.83
  4. Step 4: Simplify right side
    2,823.82x = 3,150,863.88
  5. Step 5: Solve for x
    x = 3,150,863.88/2,823.82
  6. Step 6: Final answer
    x = 1,115.82

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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.