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Finding the Fourth Proportional to 2,857.12, 4,274.88 and 1,884.40

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Solution

The fourth proportional to 2,857.12, 4,274.88 and 1,884.40 is: 2,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.12 : 4,274.88 = 1,884.40 : x
  2. Step 2: Convert to fraction form
    2,857.12/4,274.88 = 1,884.40/x
  3. Step 3: Cross multiply
    2,857.12x = 4,274.88 × 1,884.40
  4. Step 4: Simplify right side
    2,857.12x = 8,055,583.87
  5. Step 5: Solve for x
    x = 8,055,583.87/2,857.12
  6. Step 6: Final answer
    x = 2,819.48

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