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Finding the Fourth Proportional to 1,984.32, 2,975.20 and 1,009.92

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Solution

The fourth proportional to 1,984.32, 2,975.20 and 1,009.92 is: 1,514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.32 : 2,975.20 = 1,009.92 : x
  2. Step 2: Convert to fraction form
    1,984.32/2,975.20 = 1,009.92/x
  3. Step 3: Cross multiply
    1,984.32x = 2,975.20 × 1,009.92
  4. Step 4: Simplify right side
    1,984.32x = 3,004,713.98
  5. Step 5: Solve for x
    x = 3,004,713.98/1,984.32
  6. Step 6: Final answer
    x = 1,514.23

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