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Finding the Fourth Proportional to 2,165.48, 3,240.09 and 1,284.76

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Solution

The fourth proportional to 2,165.48, 3,240.09 and 1,284.76 is: 1,922.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.48 : 3,240.09 = 1,284.76 : x
  2. Step 2: Convert to fraction form
    2,165.48/3,240.09 = 1,284.76/x
  3. Step 3: Cross multiply
    2,165.48x = 3,240.09 × 1,284.76
  4. Step 4: Simplify right side
    2,165.48x = 4,162,721.83
  5. Step 5: Solve for x
    x = 4,162,721.83/2,165.48
  6. Step 6: Final answer
    x = 1,922.31

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