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Finding the Fourth Proportional to 1,538.73, 2,121.75 and 978.57

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Solution

The fourth proportional to 1,538.73, 2,121.75 and 978.57 is: 1,349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.73 : 2,121.75 = 978.57 : x
  2. Step 2: Convert to fraction form
    1,538.73/2,121.75 = 978.57/x
  3. Step 3: Cross multiply
    1,538.73x = 2,121.75 × 978.57
  4. Step 4: Simplify right side
    1,538.73x = 2,076,280.90
  5. Step 5: Solve for x
    x = 2,076,280.90/1,538.73
  6. Step 6: Final answer
    x = 1,349.35

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