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Finding the Fourth Proportional to 2,711.78, 3,742.20 and 1,516.80

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Solution

The fourth proportional to 2,711.78, 3,742.20 and 1,516.80 is: 2,093.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.78 : 3,742.20 = 1,516.80 : x
  2. Step 2: Convert to fraction form
    2,711.78/3,742.20 = 1,516.80/x
  3. Step 3: Cross multiply
    2,711.78x = 3,742.20 × 1,516.80
  4. Step 4: Simplify right side
    2,711.78x = 5,676,168.96
  5. Step 5: Solve for x
    x = 5,676,168.96/2,711.78
  6. Step 6: Final answer
    x = 2,093.15

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