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Finding the Fourth Proportional to 2,189.22, 3,283.90 and 728.40

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Solution

The fourth proportional to 2,189.22, 3,283.90 and 728.40 is: 1,092.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.22 : 3,283.90 = 728.40 : x
  2. Step 2: Convert to fraction form
    2,189.22/3,283.90 = 728.40/x
  3. Step 3: Cross multiply
    2,189.22x = 3,283.90 × 728.40
  4. Step 4: Simplify right side
    2,189.22x = 2,391,992.76
  5. Step 5: Solve for x
    x = 2,391,992.76/2,189.22
  6. Step 6: Final answer
    x = 1,092.62

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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.