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Finding the Fourth Proportional to 2,196.27, 3,293.73 and 735.09

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Solution

The fourth proportional to 2,196.27, 3,293.73 and 735.09 is: 1,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.27 : 3,293.73 = 735.09 : x
  2. Step 2: Convert to fraction form
    2,196.27/3,293.73 = 735.09/x
  3. Step 3: Cross multiply
    2,196.27x = 3,293.73 × 735.09
  4. Step 4: Simplify right side
    2,196.27x = 2,421,187.99
  5. Step 5: Solve for x
    x = 2,421,187.99/2,196.27
  6. Step 6: Final answer
    x = 1,102.41

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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.