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Finding the Fourth Proportional to 2,784.71, 4,178.43 and 1,968.23

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Solution

The fourth proportional to 2,784.71, 4,178.43 and 1,968.23 is: 2,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.71 : 4,178.43 = 1,968.23 : x
  2. Step 2: Convert to fraction form
    2,784.71/4,178.43 = 1,968.23/x
  3. Step 3: Cross multiply
    2,784.71x = 4,178.43 × 1,968.23
  4. Step 4: Simplify right side
    2,784.71x = 8,224,121.72
  5. Step 5: Solve for x
    x = 8,224,121.72/2,784.71
  6. Step 6: Final answer
    x = 2,953.31

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