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Finding the Fourth Proportional to 1,884.80, 2,830.40 and 1,827.20

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Solution

The fourth proportional to 1,884.80, 2,830.40 and 1,827.20 is: 2,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.80 : 2,830.40 = 1,827.20 : x
  2. Step 2: Convert to fraction form
    1,884.80/2,830.40 = 1,827.20/x
  3. Step 3: Cross multiply
    1,884.80x = 2,830.40 × 1,827.20
  4. Step 4: Simplify right side
    1,884.80x = 5,171,706.88
  5. Step 5: Solve for x
    x = 5,171,706.88/1,884.80
  6. Step 6: Final answer
    x = 2,743.90

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