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Finding the Fourth Proportional to 1,978.09, 2,967.48 and 882.43

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Solution

The fourth proportional to 1,978.09, 2,967.48 and 882.43 is: 1,323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.09 : 2,967.48 = 882.43 : x
  2. Step 2: Convert to fraction form
    1,978.09/2,967.48 = 882.43/x
  3. Step 3: Cross multiply
    1,978.09x = 2,967.48 × 882.43
  4. Step 4: Simplify right side
    1,978.09x = 2,618,593.38
  5. Step 5: Solve for x
    x = 2,618,593.38/1,978.09
  6. Step 6: Final answer
    x = 1,323.80

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