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Finding the Fourth Proportional to 2,541.71, 3,807.61 and 2,282.92

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Solution

The fourth proportional to 2,541.71, 3,807.61 and 2,282.92 is: 3,419.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.71 : 3,807.61 = 2,282.92 : x
  2. Step 2: Convert to fraction form
    2,541.71/3,807.61 = 2,282.92/x
  3. Step 3: Cross multiply
    2,541.71x = 3,807.61 × 2,282.92
  4. Step 4: Simplify right side
    2,541.71x = 8,692,453.79
  5. Step 5: Solve for x
    x = 8,692,453.79/2,541.71
  6. Step 6: Final answer
    x = 3,419.92

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