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Finding the Fourth Proportional to 1,319.80, 1,984.20 and 1,078.08

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Solution

The fourth proportional to 1,319.80, 1,984.20 and 1,078.08 is: 1,620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.80 : 1,984.20 = 1,078.08 : x
  2. Step 2: Convert to fraction form
    1,319.80/1,984.20 = 1,078.08/x
  3. Step 3: Cross multiply
    1,319.80x = 1,984.20 × 1,078.08
  4. Step 4: Simplify right side
    1,319.80x = 2,139,126.34
  5. Step 5: Solve for x
    x = 2,139,126.34/1,319.80
  6. Step 6: Final answer
    x = 1,620.80

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