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Finding the Fourth Proportional to 2,074.84, 3,112.24 and 978.61

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Solution

The fourth proportional to 2,074.84, 3,112.24 and 978.61 is: 1,467.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.84 : 3,112.24 = 978.61 : x
  2. Step 2: Convert to fraction form
    2,074.84/3,112.24 = 978.61/x
  3. Step 3: Cross multiply
    2,074.84x = 3,112.24 × 978.61
  4. Step 4: Simplify right side
    2,074.84x = 3,045,669.19
  5. Step 5: Solve for x
    x = 3,045,669.19/2,074.84
  6. Step 6: Final answer
    x = 1,467.91

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