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Finding the Fourth Proportional to 2,542.22, 3,815.64 and 1,310.48

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Solution

The fourth proportional to 2,542.22, 3,815.64 and 1,310.48 is: 1,966.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.22 : 3,815.64 = 1,310.48 : x
  2. Step 2: Convert to fraction form
    2,542.22/3,815.64 = 1,310.48/x
  3. Step 3: Cross multiply
    2,542.22x = 3,815.64 × 1,310.48
  4. Step 4: Simplify right side
    2,542.22x = 5,000,319.91
  5. Step 5: Solve for x
    x = 5,000,319.91/2,542.22
  6. Step 6: Final answer
    x = 1,966.91

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