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Finding the Fourth Proportional to 2,267.02, 3,400.49 and 728.02

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Solution

The fourth proportional to 2,267.02, 3,400.49 and 728.02 is: 1,092.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.02 : 3,400.49 = 728.02 : x
  2. Step 2: Convert to fraction form
    2,267.02/3,400.49 = 728.02/x
  3. Step 3: Cross multiply
    2,267.02x = 3,400.49 × 728.02
  4. Step 4: Simplify right side
    2,267.02x = 2,475,624.73
  5. Step 5: Solve for x
    x = 2,475,624.73/2,267.02
  6. Step 6: Final answer
    x = 1,092.02

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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.