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Finding the Fourth Proportional to 2,190.21, 3,284.60 and 728.97

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Solution

The fourth proportional to 2,190.21, 3,284.60 and 728.97 is: 1,093.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.21 : 3,284.60 = 728.97 : x
  2. Step 2: Convert to fraction form
    2,190.21/3,284.60 = 728.97/x
  3. Step 3: Cross multiply
    2,190.21x = 3,284.60 × 728.97
  4. Step 4: Simplify right side
    2,190.21x = 2,394,360.26
  5. Step 5: Solve for x
    x = 2,394,360.26/2,190.21
  6. Step 6: Final answer
    x = 1,093.21

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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.