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Finding the Fourth Proportional to 2,742.91, 4,116.18 and 2,560.66

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Solution

The fourth proportional to 2,742.91, 4,116.18 and 2,560.66 is: 3,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.91 : 4,116.18 = 2,560.66 : x
  2. Step 2: Convert to fraction form
    2,742.91/4,116.18 = 2,560.66/x
  3. Step 3: Cross multiply
    2,742.91x = 4,116.18 × 2,560.66
  4. Step 4: Simplify right side
    2,742.91x = 10,540,116.90
  5. Step 5: Solve for x
    x = 10,540,116.90/2,742.91
  6. Step 6: Final answer
    x = 3,842.68

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