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Finding the Fourth Proportional to 2,539.17, 3,807.74 and 978.30

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Solution

The fourth proportional to 2,539.17, 3,807.74 and 978.30 is: 1,467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.17 : 3,807.74 = 978.30 : x
  2. Step 2: Convert to fraction form
    2,539.17/3,807.74 = 978.30/x
  3. Step 3: Cross multiply
    2,539.17x = 3,807.74 × 978.30
  4. Step 4: Simplify right side
    2,539.17x = 3,725,112.04
  5. Step 5: Solve for x
    x = 3,725,112.04/2,539.17
  6. Step 6: Final answer
    x = 1,467.06

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