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Finding the Fourth Proportional to 2,582.73, 3,874.03 and 733.84

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Solution

The fourth proportional to 2,582.73, 3,874.03 and 733.84 is: 1,100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.73 : 3,874.03 = 733.84 : x
  2. Step 2: Convert to fraction form
    2,582.73/3,874.03 = 733.84/x
  3. Step 3: Cross multiply
    2,582.73x = 3,874.03 × 733.84
  4. Step 4: Simplify right side
    2,582.73x = 2,842,918.18
  5. Step 5: Solve for x
    x = 2,842,918.18/2,582.73
  6. Step 6: Final answer
    x = 1,100.74

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