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Finding the Fourth Proportional to 1,978.41, 2,969.91 and 1,157.28

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Solution

The fourth proportional to 1,978.41, 2,969.91 and 1,157.28 is: 1,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.41 : 2,969.91 = 1,157.28 : x
  2. Step 2: Convert to fraction form
    1,978.41/2,969.91 = 1,157.28/x
  3. Step 3: Cross multiply
    1,978.41x = 2,969.91 × 1,157.28
  4. Step 4: Simplify right side
    1,978.41x = 3,437,017.44
  5. Step 5: Solve for x
    x = 3,437,017.44/1,978.41
  6. Step 6: Final answer
    x = 1,737.26

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