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Finding the Fourth Proportional to 1,711.58, 2,564.12 and 1,016.78

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Solution

The fourth proportional to 1,711.58, 2,564.12 and 1,016.78 is: 1,523.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.58 : 2,564.12 = 1,016.78 : x
  2. Step 2: Convert to fraction form
    1,711.58/2,564.12 = 1,016.78/x
  3. Step 3: Cross multiply
    1,711.58x = 2,564.12 × 1,016.78
  4. Step 4: Simplify right side
    1,711.58x = 2,607,145.93
  5. Step 5: Solve for x
    x = 2,607,145.93/1,711.58
  6. Step 6: Final answer
    x = 1,523.24

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