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Finding the Fourth Proportional to 1,256.78, 1,733.36 and 1,172.94

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Solution

The fourth proportional to 1,256.78, 1,733.36 and 1,172.94 is: 1,617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.78 : 1,733.36 = 1,172.94 : x
  2. Step 2: Convert to fraction form
    1,256.78/1,733.36 = 1,172.94/x
  3. Step 3: Cross multiply
    1,256.78x = 1,733.36 × 1,172.94
  4. Step 4: Simplify right side
    1,256.78x = 2,033,127.28
  5. Step 5: Solve for x
    x = 2,033,127.28/1,256.78
  6. Step 6: Final answer
    x = 1,617.73

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