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Finding the Fourth Proportional to 2,711.76, 3,742.41 and 1,533.05

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Solution

The fourth proportional to 2,711.76, 3,742.41 and 1,533.05 is: 2,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.76 : 3,742.41 = 1,533.05 : x
  2. Step 2: Convert to fraction form
    2,711.76/3,742.41 = 1,533.05/x
  3. Step 3: Cross multiply
    2,711.76x = 3,742.41 × 1,533.05
  4. Step 4: Simplify right side
    2,711.76x = 5,737,282.94
  5. Step 5: Solve for x
    x = 5,737,282.94/2,711.76
  6. Step 6: Final answer
    x = 2,115.70

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