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Finding the Fourth Proportional to 2,163.93, 3,247.41 and 1,178.73

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Solution

The fourth proportional to 2,163.93, 3,247.41 and 1,178.73 is: 1,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.93 : 3,247.41 = 1,178.73 : x
  2. Step 2: Convert to fraction form
    2,163.93/3,247.41 = 1,178.73/x
  3. Step 3: Cross multiply
    2,163.93x = 3,247.41 × 1,178.73
  4. Step 4: Simplify right side
    2,163.93x = 3,827,819.59
  5. Step 5: Solve for x
    x = 3,827,819.59/2,163.93
  6. Step 6: Final answer
    x = 1,768.92

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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.