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Finding the Fourth Proportional to 3,141.77, 4,706.48 and 1,822.75

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Solution

The fourth proportional to 3,141.77, 4,706.48 and 1,822.75 is: 2,730.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.77 : 4,706.48 = 1,822.75 : x
  2. Step 2: Convert to fraction form
    3,141.77/4,706.48 = 1,822.75/x
  3. Step 3: Cross multiply
    3,141.77x = 4,706.48 × 1,822.75
  4. Step 4: Simplify right side
    3,141.77x = 8,578,729.21
  5. Step 5: Solve for x
    x = 8,578,729.21/3,141.77
  6. Step 6: Final answer
    x = 2,730.54

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