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Finding the Fourth Proportional to 1,902.30, 2,854.89 and 978.63

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Solution

The fourth proportional to 1,902.30, 2,854.89 and 978.63 is: 1,468.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.30 : 2,854.89 = 978.63 : x
  2. Step 2: Convert to fraction form
    1,902.30/2,854.89 = 978.63/x
  3. Step 3: Cross multiply
    1,902.30x = 2,854.89 × 978.63
  4. Step 4: Simplify right side
    1,902.30x = 2,793,881.00
  5. Step 5: Solve for x
    x = 2,793,881.00/1,902.30
  6. Step 6: Final answer
    x = 1,468.69

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