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Finding the Fourth Proportional to 2,429.80, 3,644.46 and 1,042.88

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Solution

The fourth proportional to 2,429.80, 3,644.46 and 1,042.88 is: 1,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.80 : 3,644.46 = 1,042.88 : x
  2. Step 2: Convert to fraction form
    2,429.80/3,644.46 = 1,042.88/x
  3. Step 3: Cross multiply
    2,429.80x = 3,644.46 × 1,042.88
  4. Step 4: Simplify right side
    2,429.80x = 3,800,734.44
  5. Step 5: Solve for x
    x = 3,800,734.44/2,429.80
  6. Step 6: Final answer
    x = 1,564.22

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