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Finding the Fourth Proportional to 2,365.32, 3,546.73 and 978.40

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Solution

The fourth proportional to 2,365.32, 3,546.73 and 978.40 is: 1,467.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.32 : 3,546.73 = 978.40 : x
  2. Step 2: Convert to fraction form
    2,365.32/3,546.73 = 978.40/x
  3. Step 3: Cross multiply
    2,365.32x = 3,546.73 × 978.40
  4. Step 4: Simplify right side
    2,365.32x = 3,470,120.63
  5. Step 5: Solve for x
    x = 3,470,120.63/2,365.32
  6. Step 6: Final answer
    x = 1,467.08

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