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Finding the Fourth Proportional to 2,216.26, 3,323.56 and 735.21

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Solution

The fourth proportional to 2,216.26, 3,323.56 and 735.21 is: 1,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.26 : 3,323.56 = 735.21 : x
  2. Step 2: Convert to fraction form
    2,216.26/3,323.56 = 735.21/x
  3. Step 3: Cross multiply
    2,216.26x = 3,323.56 × 735.21
  4. Step 4: Simplify right side
    2,216.26x = 2,443,514.55
  5. Step 5: Solve for x
    x = 2,443,514.55/2,216.26
  6. Step 6: Final answer
    x = 1,102.54

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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.