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Finding the Fourth Proportional to 1,978.56, 2,968.45 and 746.35

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Solution

The fourth proportional to 1,978.56, 2,968.45 and 746.35 is: 1,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.56 : 2,968.45 = 746.35 : x
  2. Step 2: Convert to fraction form
    1,978.56/2,968.45 = 746.35/x
  3. Step 3: Cross multiply
    1,978.56x = 2,968.45 × 746.35
  4. Step 4: Simplify right side
    1,978.56x = 2,215,493.37
  5. Step 5: Solve for x
    x = 2,215,493.37/1,978.56
  6. Step 6: Final answer
    x = 1,119.75

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