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Finding the Fourth Proportional to 1,978.80, 2,964.42 and 1,110.48

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Solution

The fourth proportional to 1,978.80, 2,964.42 and 1,110.48 is: 1,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.80 : 2,964.42 = 1,110.48 : x
  2. Step 2: Convert to fraction form
    1,978.80/2,964.42 = 1,110.48/x
  3. Step 3: Cross multiply
    1,978.80x = 2,964.42 × 1,110.48
  4. Step 4: Simplify right side
    1,978.80x = 3,291,929.12
  5. Step 5: Solve for x
    x = 3,291,929.12/1,978.80
  6. Step 6: Final answer
    x = 1,663.60

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