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Finding the Fourth Proportional to 2,074.35, 3,111.48 and 978.12

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Solution

The fourth proportional to 2,074.35, 3,111.48 and 978.12 is: 1,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.35 : 3,111.48 = 978.12 : x
  2. Step 2: Convert to fraction form
    2,074.35/3,111.48 = 978.12/x
  3. Step 3: Cross multiply
    2,074.35x = 3,111.48 × 978.12
  4. Step 4: Simplify right side
    2,074.35x = 3,043,400.82
  5. Step 5: Solve for x
    x = 3,043,400.82/2,074.35
  6. Step 6: Final answer
    x = 1,467.16

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