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Finding the Fourth Proportional to 1,319.52, 1,976.20 and 1,059.78

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Solution

The fourth proportional to 1,319.52, 1,976.20 and 1,059.78 is: 1,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.52 : 1,976.20 = 1,059.78 : x
  2. Step 2: Convert to fraction form
    1,319.52/1,976.20 = 1,059.78/x
  3. Step 3: Cross multiply
    1,319.52x = 1,976.20 × 1,059.78
  4. Step 4: Simplify right side
    1,319.52x = 2,094,342.00
  5. Step 5: Solve for x
    x = 2,094,342.00/1,319.52
  6. Step 6: Final answer
    x = 1,587.20

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