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Finding the Fourth Proportional to 1,571.59, 2,358.47 and 1,161.78

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Solution

The fourth proportional to 1,571.59, 2,358.47 and 1,161.78 is: 1,743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.59 : 2,358.47 = 1,161.78 : x
  2. Step 2: Convert to fraction form
    1,571.59/2,358.47 = 1,161.78/x
  3. Step 3: Cross multiply
    1,571.59x = 2,358.47 × 1,161.78
  4. Step 4: Simplify right side
    1,571.59x = 2,740,023.28
  5. Step 5: Solve for x
    x = 2,740,023.28/1,571.59
  6. Step 6: Final answer
    x = 1,743.47

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