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Finding the Fourth Proportional to 2,808.67, 4,213.11 and 728.62

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Solution

The fourth proportional to 2,808.67, 4,213.11 and 728.62 is: 1,092.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.67 : 4,213.11 = 728.62 : x
  2. Step 2: Convert to fraction form
    2,808.67/4,213.11 = 728.62/x
  3. Step 3: Cross multiply
    2,808.67x = 4,213.11 × 728.62
  4. Step 4: Simplify right side
    2,808.67x = 3,069,742.94
  5. Step 5: Solve for x
    x = 3,069,742.94/2,808.67
  6. Step 6: Final answer
    x = 1,092.95

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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.