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Finding the Fourth Proportional to 1,678.44, 2,514.96 and 1,027.20

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Solution

The fourth proportional to 1,678.44, 2,514.96 and 1,027.20 is: 1,539.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.44 : 2,514.96 = 1,027.20 : x
  2. Step 2: Convert to fraction form
    1,678.44/2,514.96 = 1,027.20/x
  3. Step 3: Cross multiply
    1,678.44x = 2,514.96 × 1,027.20
  4. Step 4: Simplify right side
    1,678.44x = 2,583,366.91
  5. Step 5: Solve for x
    x = 2,583,366.91/1,678.44
  6. Step 6: Final answer
    x = 1,539.15

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