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Finding the Fourth Proportional to 2,824.76, 3,894.35 and 2,381.90

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Solution

The fourth proportional to 2,824.76, 3,894.35 and 2,381.90 is: 3,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.76 : 3,894.35 = 2,381.90 : x
  2. Step 2: Convert to fraction form
    2,824.76/3,894.35 = 2,381.90/x
  3. Step 3: Cross multiply
    2,824.76x = 3,894.35 × 2,381.90
  4. Step 4: Simplify right side
    2,824.76x = 9,275,920.88
  5. Step 5: Solve for x
    x = 9,275,920.88/2,824.76
  6. Step 6: Final answer
    x = 3,283.79

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