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Finding the Fourth Proportional to 3,286.56, 4,930.65 and 978.06

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Solution

The fourth proportional to 3,286.56, 4,930.65 and 978.06 is: 1,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.56 : 4,930.65 = 978.06 : x
  2. Step 2: Convert to fraction form
    3,286.56/4,930.65 = 978.06/x
  3. Step 3: Cross multiply
    3,286.56x = 4,930.65 × 978.06
  4. Step 4: Simplify right side
    3,286.56x = 4,822,471.54
  5. Step 5: Solve for x
    x = 4,822,471.54/3,286.56
  6. Step 6: Final answer
    x = 1,467.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.