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Finding the Fourth Proportional to 2,135.21, 3,204.26 and 748.53

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Solution

The fourth proportional to 2,135.21, 3,204.26 and 748.53 is: 1,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.21 : 3,204.26 = 748.53 : x
  2. Step 2: Convert to fraction form
    2,135.21/3,204.26 = 748.53/x
  3. Step 3: Cross multiply
    2,135.21x = 3,204.26 × 748.53
  4. Step 4: Simplify right side
    2,135.21x = 2,398,481.00
  5. Step 5: Solve for x
    x = 2,398,481.00/2,135.21
  6. Step 6: Final answer
    x = 1,123.30

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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.