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Finding the Fourth Proportional to 2,729.24, 4,092.24 and 997.28

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Solution

The fourth proportional to 2,729.24, 4,092.24 and 997.28 is: 1,495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.24 : 4,092.24 = 997.28 : x
  2. Step 2: Convert to fraction form
    2,729.24/4,092.24 = 997.28/x
  3. Step 3: Cross multiply
    2,729.24x = 4,092.24 × 997.28
  4. Step 4: Simplify right side
    2,729.24x = 4,081,109.11
  5. Step 5: Solve for x
    x = 4,081,109.11/2,729.24
  6. Step 6: Final answer
    x = 1,495.33

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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.