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Finding the Fourth Proportional to 1,978.24, 2,968.44 and 808.88

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Solution

The fourth proportional to 1,978.24, 2,968.44 and 808.88 is: 1,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.24 : 2,968.44 = 808.88 : x
  2. Step 2: Convert to fraction form
    1,978.24/2,968.44 = 808.88/x
  3. Step 3: Cross multiply
    1,978.24x = 2,968.44 × 808.88
  4. Step 4: Simplify right side
    1,978.24x = 2,401,111.75
  5. Step 5: Solve for x
    x = 2,401,111.75/1,978.24
  6. Step 6: Final answer
    x = 1,213.76

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