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Finding the Fourth Proportional to 2,216.84, 3,324.52 and 735.78

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Solution

The fourth proportional to 2,216.84, 3,324.52 and 735.78 is: 1,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.84 : 3,324.52 = 735.78 : x
  2. Step 2: Convert to fraction form
    2,216.84/3,324.52 = 735.78/x
  3. Step 3: Cross multiply
    2,216.84x = 3,324.52 × 735.78
  4. Step 4: Simplify right side
    2,216.84x = 2,446,115.33
  5. Step 5: Solve for x
    x = 2,446,115.33/2,216.84
  6. Step 6: Final answer
    x = 1,103.42

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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.