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Finding the Fourth Proportional to 1,567.62, 2,347.79 and 1,199.48

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Solution

The fourth proportional to 1,567.62, 2,347.79 and 1,199.48 is: 1,796.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.62 : 2,347.79 = 1,199.48 : x
  2. Step 2: Convert to fraction form
    1,567.62/2,347.79 = 1,199.48/x
  3. Step 3: Cross multiply
    1,567.62x = 2,347.79 × 1,199.48
  4. Step 4: Simplify right side
    1,567.62x = 2,816,109.41
  5. Step 5: Solve for x
    x = 2,816,109.41/1,567.62
  6. Step 6: Final answer
    x = 1,796.42

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