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Finding the Fourth Proportional to 2,074.18, 3,106.23 and 978.85

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Solution

The fourth proportional to 2,074.18, 3,106.23 and 978.85 is: 1,465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.18 : 3,106.23 = 978.85 : x
  2. Step 2: Convert to fraction form
    2,074.18/3,106.23 = 978.85/x
  3. Step 3: Cross multiply
    2,074.18x = 3,106.23 × 978.85
  4. Step 4: Simplify right side
    2,074.18x = 3,040,533.24
  5. Step 5: Solve for x
    x = 3,040,533.24/2,074.18
  6. Step 6: Final answer
    x = 1,465.90

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