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Finding the Fourth Proportional to 1,642.08, 2,265.12 and 978.72

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Solution

The fourth proportional to 1,642.08, 2,265.12 and 978.72 is: 1,350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.08 : 2,265.12 = 978.72 : x
  2. Step 2: Convert to fraction form
    1,642.08/2,265.12 = 978.72/x
  3. Step 3: Cross multiply
    1,642.08x = 2,265.12 × 978.72
  4. Step 4: Simplify right side
    1,642.08x = 2,216,918.25
  5. Step 5: Solve for x
    x = 2,216,918.25/1,642.08
  6. Step 6: Final answer
    x = 1,350.07

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