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Finding the Fourth Proportional to 2,742.81, 3,785.09 and 1,563.93

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Solution

The fourth proportional to 2,742.81, 3,785.09 and 1,563.93 is: 2,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.81 : 3,785.09 = 1,563.93 : x
  2. Step 2: Convert to fraction form
    2,742.81/3,785.09 = 1,563.93/x
  3. Step 3: Cross multiply
    2,742.81x = 3,785.09 × 1,563.93
  4. Step 4: Simplify right side
    2,742.81x = 5,919,607.98
  5. Step 5: Solve for x
    x = 5,919,607.98/2,742.81
  6. Step 6: Final answer
    x = 2,158.23

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