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Finding the Fourth Proportional to 1,978.52, 2,730.28 and 1,192.40

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Solution

The fourth proportional to 1,978.52, 2,730.28 and 1,192.40 is: 1,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.52 : 2,730.28 = 1,192.40 : x
  2. Step 2: Convert to fraction form
    1,978.52/2,730.28 = 1,192.40/x
  3. Step 3: Cross multiply
    1,978.52x = 2,730.28 × 1,192.40
  4. Step 4: Simplify right side
    1,978.52x = 3,255,585.87
  5. Step 5: Solve for x
    x = 3,255,585.87/1,978.52
  6. Step 6: Final answer
    x = 1,645.47

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