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Finding the Fourth Proportional to 1,578.82, 2,369.22 and 1,090.96

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Solution

The fourth proportional to 1,578.82, 2,369.22 and 1,090.96 is: 1,637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.82 : 2,369.22 = 1,090.96 : x
  2. Step 2: Convert to fraction form
    1,578.82/2,369.22 = 1,090.96/x
  3. Step 3: Cross multiply
    1,578.82x = 2,369.22 × 1,090.96
  4. Step 4: Simplify right side
    1,578.82x = 2,584,724.25
  5. Step 5: Solve for x
    x = 2,584,724.25/1,578.82
  6. Step 6: Final answer
    x = 1,637.12

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