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Finding the Fourth Proportional to 2,189.61, 3,284.96 and 728.69

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Solution

The fourth proportional to 2,189.61, 3,284.96 and 728.69 is: 1,093.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.61 : 3,284.96 = 728.69 : x
  2. Step 2: Convert to fraction form
    2,189.61/3,284.96 = 728.69/x
  3. Step 3: Cross multiply
    2,189.61x = 3,284.96 × 728.69
  4. Step 4: Simplify right side
    2,189.61x = 2,393,697.43
  5. Step 5: Solve for x
    x = 2,393,697.43/2,189.61
  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.