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Finding the Fourth Proportional to 2,189.25, 3,284.12 and 728.53

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Solution

The fourth proportional to 2,189.25, 3,284.12 and 728.53 is: 1,092.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.25 : 3,284.12 = 728.53 : x
  2. Step 2: Convert to fraction form
    2,189.25/3,284.12 = 728.53/x
  3. Step 3: Cross multiply
    2,189.25x = 3,284.12 × 728.53
  4. Step 4: Simplify right side
    2,189.25x = 2,392,579.94
  5. Step 5: Solve for x
    x = 2,392,579.94/2,189.25
  6. Step 6: Final answer
    x = 1,092.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.