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Finding the Fourth Proportional to 2,727.81, 3,763.42 and 1,784.16

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Solution

The fourth proportional to 2,727.81, 3,763.42 and 1,784.16 is: 2,461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.81 : 3,763.42 = 1,784.16 : x
  2. Step 2: Convert to fraction form
    2,727.81/3,763.42 = 1,784.16/x
  3. Step 3: Cross multiply
    2,727.81x = 3,763.42 × 1,784.16
  4. Step 4: Simplify right side
    2,727.81x = 6,714,538.97
  5. Step 5: Solve for x
    x = 6,714,538.97/2,727.81
  6. Step 6: Final answer
    x = 2,461.51

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