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Finding the Fourth Proportional to 2,782.91, 4,175.99 and 1,029.14

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Solution

The fourth proportional to 2,782.91, 4,175.99 and 1,029.14 is: 1,544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.91 : 4,175.99 = 1,029.14 : x
  2. Step 2: Convert to fraction form
    2,782.91/4,175.99 = 1,029.14/x
  3. Step 3: Cross multiply
    2,782.91x = 4,175.99 × 1,029.14
  4. Step 4: Simplify right side
    2,782.91x = 4,297,695.33
  5. Step 5: Solve for x
    x = 4,297,695.33/2,782.91
  6. Step 6: Final answer
    x = 1,544.32

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