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Finding the Fourth Proportional to 1,978.60, 2,968.14 and 680.44

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Solution

The fourth proportional to 1,978.60, 2,968.14 and 680.44 is: 1,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.60 : 2,968.14 = 680.44 : x
  2. Step 2: Convert to fraction form
    1,978.60/2,968.14 = 680.44/x
  3. Step 3: Cross multiply
    1,978.60x = 2,968.14 × 680.44
  4. Step 4: Simplify right side
    1,978.60x = 2,019,641.18
  5. Step 5: Solve for x
    x = 2,019,641.18/1,978.60
  6. Step 6: Final answer
    x = 1,020.74

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