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Finding the Fourth Proportional to 2,115.23, 3,173.04 and 728.37

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Solution

The fourth proportional to 2,115.23, 3,173.04 and 728.37 is: 1,092.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.23 : 3,173.04 = 728.37 : x
  2. Step 2: Convert to fraction form
    2,115.23/3,173.04 = 728.37/x
  3. Step 3: Cross multiply
    2,115.23x = 3,173.04 × 728.37
  4. Step 4: Simplify right side
    2,115.23x = 2,311,147.14
  5. Step 5: Solve for x
    x = 2,311,147.14/2,115.23
  6. Step 6: Final answer
    x = 1,092.62

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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.