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Finding the Fourth Proportional to 1,570.59, 2,356.97 and 1,160.78

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Solution

The fourth proportional to 1,570.59, 2,356.97 and 1,160.78 is: 1,741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.59 : 2,356.97 = 1,160.78 : x
  2. Step 2: Convert to fraction form
    1,570.59/2,356.97 = 1,160.78/x
  3. Step 3: Cross multiply
    1,570.59x = 2,356.97 × 1,160.78
  4. Step 4: Simplify right side
    1,570.59x = 2,735,906.05
  5. Step 5: Solve for x
    x = 2,735,906.05/1,570.59
  6. Step 6: Final answer
    x = 1,741.96

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