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Finding the Fourth Proportional to 1,387.32, 2,080.97 and 1,142.86

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Solution

The fourth proportional to 1,387.32, 2,080.97 and 1,142.86 is: 1,714.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.32 : 2,080.97 = 1,142.86 : x
  2. Step 2: Convert to fraction form
    1,387.32/2,080.97 = 1,142.86/x
  3. Step 3: Cross multiply
    1,387.32x = 2,080.97 × 1,142.86
  4. Step 4: Simplify right side
    1,387.32x = 2,378,250.74
  5. Step 5: Solve for x
    x = 2,378,250.74/1,387.32
  6. Step 6: Final answer
    x = 1,714.28

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