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Finding the Fourth Proportional to 2,794.47, 3,857.67 and 2,163.57

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Solution

The fourth proportional to 2,794.47, 3,857.67 and 2,163.57 is: 2,986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.47 : 3,857.67 = 2,163.57 : x
  2. Step 2: Convert to fraction form
    2,794.47/3,857.67 = 2,163.57/x
  3. Step 3: Cross multiply
    2,794.47x = 3,857.67 × 2,163.57
  4. Step 4: Simplify right side
    2,794.47x = 8,346,339.08
  5. Step 5: Solve for x
    x = 8,346,339.08/2,794.47
  6. Step 6: Final answer
    x = 2,986.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.