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Finding the Fourth Proportional to 1,978.42, 2,968.32 and 882.68

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Solution

The fourth proportional to 1,978.42, 2,968.32 and 882.68 is: 1,324.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.42 : 2,968.32 = 882.68 : x
  2. Step 2: Convert to fraction form
    1,978.42/2,968.32 = 882.68/x
  3. Step 3: Cross multiply
    1,978.42x = 2,968.32 × 882.68
  4. Step 4: Simplify right side
    1,978.42x = 2,620,076.70
  5. Step 5: Solve for x
    x = 2,620,076.70/1,978.42
  6. Step 6: Final answer
    x = 1,324.33

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