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Finding the Fourth Proportional to 3,169.76, 4,755.06 and 978.20

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Solution

The fourth proportional to 3,169.76, 4,755.06 and 978.20 is: 1,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.76 : 4,755.06 = 978.20 : x
  2. Step 2: Convert to fraction form
    3,169.76/4,755.06 = 978.20/x
  3. Step 3: Cross multiply
    3,169.76x = 4,755.06 × 978.20
  4. Step 4: Simplify right side
    3,169.76x = 4,651,399.69
  5. Step 5: Solve for x
    x = 4,651,399.69/3,169.76
  6. Step 6: Final answer
    x = 1,467.43

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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.