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Finding the Fourth Proportional to 1,571.56, 2,357.73 and 1,110.24

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Solution

The fourth proportional to 1,571.56, 2,357.73 and 1,110.24 is: 1,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.56 : 2,357.73 = 1,110.24 : x
  2. Step 2: Convert to fraction form
    1,571.56/2,357.73 = 1,110.24/x
  3. Step 3: Cross multiply
    1,571.56x = 2,357.73 × 1,110.24
  4. Step 4: Simplify right side
    1,571.56x = 2,617,649.28
  5. Step 5: Solve for x
    x = 2,617,649.28/1,571.56
  6. Step 6: Final answer
    x = 1,665.64

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