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Finding the Fourth Proportional to 2,649.78, 3,972.61 and 1,187.91

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Solution

The fourth proportional to 2,649.78, 3,972.61 and 1,187.91 is: 1,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.78 : 3,972.61 = 1,187.91 : x
  2. Step 2: Convert to fraction form
    2,649.78/3,972.61 = 1,187.91/x
  3. Step 3: Cross multiply
    2,649.78x = 3,972.61 × 1,187.91
  4. Step 4: Simplify right side
    2,649.78x = 4,719,100.18
  5. Step 5: Solve for x
    x = 4,719,100.18/2,649.78
  6. Step 6: Final answer
    x = 1,780.94

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