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Finding the Fourth Proportional to 1,462.94, 2,191.94 and 1,029.32

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Solution

The fourth proportional to 1,462.94, 2,191.94 and 1,029.32 is: 1,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.94 : 2,191.94 = 1,029.32 : x
  2. Step 2: Convert to fraction form
    1,462.94/2,191.94 = 1,029.32/x
  3. Step 3: Cross multiply
    1,462.94x = 2,191.94 × 1,029.32
  4. Step 4: Simplify right side
    1,462.94x = 2,256,207.68
  5. Step 5: Solve for x
    x = 2,256,207.68/1,462.94
  6. Step 6: Final answer
    x = 1,542.24

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