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Finding the Fourth Proportional to 1,871.75, 2,582.80 and 1,199.25

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Solution

The fourth proportional to 1,871.75, 2,582.80 and 1,199.25 is: 1,654.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.75 : 2,582.80 = 1,199.25 : x
  2. Step 2: Convert to fraction form
    1,871.75/2,582.80 = 1,199.25/x
  3. Step 3: Cross multiply
    1,871.75x = 2,582.80 × 1,199.25
  4. Step 4: Simplify right side
    1,871.75x = 3,097,422.90
  5. Step 5: Solve for x
    x = 3,097,422.90/1,871.75
  6. Step 6: Final answer
    x = 1,654.83

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