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Finding the Fourth Proportional to 3,170.50, 4,755.66 and 978.91

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Solution

The fourth proportional to 3,170.50, 4,755.66 and 978.91 is: 1,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.50 : 4,755.66 = 978.91 : x
  2. Step 2: Convert to fraction form
    3,170.50/4,755.66 = 978.91/x
  3. Step 3: Cross multiply
    3,170.50x = 4,755.66 × 978.91
  4. Step 4: Simplify right side
    3,170.50x = 4,655,363.13
  5. Step 5: Solve for x
    x = 4,655,363.13/3,170.50
  6. Step 6: Final answer
    x = 1,468.34

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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.