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Finding the Fourth Proportional to 1,538.04, 2,122.94 and 978.52

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Solution

The fourth proportional to 1,538.04, 2,122.94 and 978.52 is: 1,350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.04 : 2,122.94 = 978.52 : x
  2. Step 2: Convert to fraction form
    1,538.04/2,122.94 = 978.52/x
  3. Step 3: Cross multiply
    1,538.04x = 2,122.94 × 978.52
  4. Step 4: Simplify right side
    1,538.04x = 2,077,339.25
  5. Step 5: Solve for x
    x = 2,077,339.25/1,538.04
  6. Step 6: Final answer
    x = 1,350.64

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