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Finding the Fourth Proportional to 1,838.78, 2,538.47 and 1,278.26

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Solution

The fourth proportional to 1,838.78, 2,538.47 and 1,278.26 is: 1,764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.78 : 2,538.47 = 1,278.26 : x
  2. Step 2: Convert to fraction form
    1,838.78/2,538.47 = 1,278.26/x
  3. Step 3: Cross multiply
    1,838.78x = 2,538.47 × 1,278.26
  4. Step 4: Simplify right side
    1,838.78x = 3,244,824.66
  5. Step 5: Solve for x
    x = 3,244,824.66/1,838.78
  6. Step 6: Final answer
    x = 1,764.66

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