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Finding the Fourth Proportional to 2,189.08, 3,284.25 and 729.19

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Solution

The fourth proportional to 2,189.08, 3,284.25 and 729.19 is: 1,093.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.08 : 3,284.25 = 729.19 : x
  2. Step 2: Convert to fraction form
    2,189.08/3,284.25 = 729.19/x
  3. Step 3: Cross multiply
    2,189.08x = 3,284.25 × 729.19
  4. Step 4: Simplify right side
    2,189.08x = 2,394,842.26
  5. Step 5: Solve for x
    x = 2,394,842.26/2,189.08
  6. Step 6: Final answer
    x = 1,093.99

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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.