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Finding the Fourth Proportional to 2,739.92, 3,780.42 and 1,561.64

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Solution

The fourth proportional to 2,739.92, 3,780.42 and 1,561.64 is: 2,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.92 : 3,780.42 = 1,561.64 : x
  2. Step 2: Convert to fraction form
    2,739.92/3,780.42 = 1,561.64/x
  3. Step 3: Cross multiply
    2,739.92x = 3,780.42 × 1,561.64
  4. Step 4: Simplify right side
    2,739.92x = 5,903,655.09
  5. Step 5: Solve for x
    x = 5,903,655.09/2,739.92
  6. Step 6: Final answer
    x = 2,154.68

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