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Finding the Fourth Proportional to 1,707.56, 2,564.60 and 978.56

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Solution

The fourth proportional to 1,707.56, 2,564.60 and 978.56 is: 1,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.56 : 2,564.60 = 978.56 : x
  2. Step 2: Convert to fraction form
    1,707.56/2,564.60 = 978.56/x
  3. Step 3: Cross multiply
    1,707.56x = 2,564.60 × 978.56
  4. Step 4: Simplify right side
    1,707.56x = 2,509,614.98
  5. Step 5: Solve for x
    x = 2,509,614.98/1,707.56
  6. Step 6: Final answer
    x = 1,469.71

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