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Finding the Fourth Proportional to 2,190.36, 3,284.76 and 729.12

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Solution

The fourth proportional to 2,190.36, 3,284.76 and 729.12 is: 1,093.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.36 : 3,284.76 = 729.12 : x
  2. Step 2: Convert to fraction form
    2,190.36/3,284.76 = 729.12/x
  3. Step 3: Cross multiply
    2,190.36x = 3,284.76 × 729.12
  4. Step 4: Simplify right side
    2,190.36x = 2,394,984.21
  5. Step 5: Solve for x
    x = 2,394,984.21/2,190.36
  6. Step 6: Final answer
    x = 1,093.42

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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.