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Finding the Fourth Proportional to 1,782, 2,667.33 and 1,160.73

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Solution

The fourth proportional to 1,782, 2,667.33 and 1,160.73 is: 1,737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782 : 2,667.33 = 1,160.73 : x
  2. Step 2: Convert to fraction form
    1,782/2,667.33 = 1,160.73/x
  3. Step 3: Cross multiply
    1,782x = 2,667.33 × 1,160.73
  4. Step 4: Simplify right side
    1,782x = 3,096,049.95
  5. Step 5: Solve for x
    x = 3,096,049.95/1,782
  6. Step 6: Final answer
    x = 1,737.40

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