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Finding the Fourth Proportional to 2,561.78, 3,838.97 and 1,466.46

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Solution

The fourth proportional to 2,561.78, 3,838.97 and 1,466.46 is: 2,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.78 : 3,838.97 = 1,466.46 : x
  2. Step 2: Convert to fraction form
    2,561.78/3,838.97 = 1,466.46/x
  3. Step 3: Cross multiply
    2,561.78x = 3,838.97 × 1,466.46
  4. Step 4: Simplify right side
    2,561.78x = 5,629,695.95
  5. Step 5: Solve for x
    x = 5,629,695.95/2,561.78
  6. Step 6: Final answer
    x = 2,197.57

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