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Finding the Fourth Proportional to 1,578.27, 2,368.38 and 1,072.22

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Solution

The fourth proportional to 1,578.27, 2,368.38 and 1,072.22 is: 1,608.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.27 : 2,368.38 = 1,072.22 : x
  2. Step 2: Convert to fraction form
    1,578.27/2,368.38 = 1,072.22/x
  3. Step 3: Cross multiply
    1,578.27x = 2,368.38 × 1,072.22
  4. Step 4: Simplify right side
    1,578.27x = 2,539,424.40
  5. Step 5: Solve for x
    x = 2,539,424.40/1,578.27
  6. Step 6: Final answer
    x = 1,608.99

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