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Finding the Fourth Proportional to 1,160.28, 1,740.96 and 1,109.52

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Solution

The fourth proportional to 1,160.28, 1,740.96 and 1,109.52 is: 1,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.28 : 1,740.96 = 1,109.52 : x
  2. Step 2: Convert to fraction form
    1,160.28/1,740.96 = 1,109.52/x
  3. Step 3: Cross multiply
    1,160.28x = 1,740.96 × 1,109.52
  4. Step 4: Simplify right side
    1,160.28x = 1,931,629.94
  5. Step 5: Solve for x
    x = 1,931,629.94/1,160.28
  6. Step 6: Final answer
    x = 1,664.80

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