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Finding the Fourth Proportional to 2,231.69, 3,348.34 and 770.99

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Solution

The fourth proportional to 2,231.69, 3,348.34 and 770.99 is: 1,156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.69 : 3,348.34 = 770.99 : x
  2. Step 2: Convert to fraction form
    2,231.69/3,348.34 = 770.99/x
  3. Step 3: Cross multiply
    2,231.69x = 3,348.34 × 770.99
  4. Step 4: Simplify right side
    2,231.69x = 2,581,517.99
  5. Step 5: Solve for x
    x = 2,581,517.99/2,231.69
  6. Step 6: Final answer
    x = 1,156.76

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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.