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Finding the Fourth Proportional to 2,571.80, 3,859.78 and 1,461.92

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Solution

The fourth proportional to 2,571.80, 3,859.78 and 1,461.92 is: 2,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.80 : 3,859.78 = 1,461.92 : x
  2. Step 2: Convert to fraction form
    2,571.80/3,859.78 = 1,461.92/x
  3. Step 3: Cross multiply
    2,571.80x = 3,859.78 × 1,461.92
  4. Step 4: Simplify right side
    2,571.80x = 5,642,689.58
  5. Step 5: Solve for x
    x = 5,642,689.58/2,571.80
  6. Step 6: Final answer
    x = 2,194.06

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