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Finding the Fourth Proportional to 2,584.34, 3,872.94 and 1,194.62

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Solution

The fourth proportional to 2,584.34, 3,872.94 and 1,194.62 is: 1,790.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.34 : 3,872.94 = 1,194.62 : x
  2. Step 2: Convert to fraction form
    2,584.34/3,872.94 = 1,194.62/x
  3. Step 3: Cross multiply
    2,584.34x = 3,872.94 × 1,194.62
  4. Step 4: Simplify right side
    2,584.34x = 4,626,691.58
  5. Step 5: Solve for x
    x = 4,626,691.58/2,584.34
  6. Step 6: Final answer
    x = 1,790.28

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