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Finding the Fourth Proportional to 2,115.05, 3,172.80 and 728.22

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Solution

The fourth proportional to 2,115.05, 3,172.80 and 728.22 is: 1,092.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.05 : 3,172.80 = 728.22 : x
  2. Step 2: Convert to fraction form
    2,115.05/3,172.80 = 728.22/x
  3. Step 3: Cross multiply
    2,115.05x = 3,172.80 × 728.22
  4. Step 4: Simplify right side
    2,115.05x = 2,310,502.82
  5. Step 5: Solve for x
    x = 2,310,502.82/2,115.05
  6. Step 6: Final answer
    x = 1,092.41

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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.