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Finding the Fourth Proportional to 2,910.62, 4,365.23 and 830.66

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Solution

The fourth proportional to 2,910.62, 4,365.23 and 830.66 is: 1,245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.62 : 4,365.23 = 830.66 : x
  2. Step 2: Convert to fraction form
    2,910.62/4,365.23 = 830.66/x
  3. Step 3: Cross multiply
    2,910.62x = 4,365.23 × 830.66
  4. Step 4: Simplify right side
    2,910.62x = 3,625,995.97
  5. Step 5: Solve for x
    x = 3,625,995.97/2,910.62
  6. Step 6: Final answer
    x = 1,245.78

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1.5x scale

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.