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Finding the Fourth Proportional to 2,538.86, 3,809.19 and 1,563.81

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Solution

The fourth proportional to 2,538.86, 3,809.19 and 1,563.81 is: 2,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.86 : 3,809.19 = 1,563.81 : x
  2. Step 2: Convert to fraction form
    2,538.86/3,809.19 = 1,563.81/x
  3. Step 3: Cross multiply
    2,538.86x = 3,809.19 × 1,563.81
  4. Step 4: Simplify right side
    2,538.86x = 5,956,849.41
  5. Step 5: Solve for x
    x = 5,956,849.41/2,538.86
  6. Step 6: Final answer
    x = 2,346.27

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