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Finding the Fourth Proportional to 1,906.26, 2,857.76 and 1,387.86

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Solution

The fourth proportional to 1,906.26, 2,857.76 and 1,387.86 is: 2,080.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.26 : 2,857.76 = 1,387.86 : x
  2. Step 2: Convert to fraction form
    1,906.26/2,857.76 = 1,387.86/x
  3. Step 3: Cross multiply
    1,906.26x = 2,857.76 × 1,387.86
  4. Step 4: Simplify right side
    1,906.26x = 3,966,170.79
  5. Step 5: Solve for x
    x = 3,966,170.79/1,906.26
  6. Step 6: Final answer
    x = 2,080.60

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