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Finding the Fourth Proportional to 2,153.20, 3,230.22 and 691.96

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Solution

The fourth proportional to 2,153.20, 3,230.22 and 691.96 is: 1,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.20 : 3,230.22 = 691.96 : x
  2. Step 2: Convert to fraction form
    2,153.20/3,230.22 = 691.96/x
  3. Step 3: Cross multiply
    2,153.20x = 3,230.22 × 691.96
  4. Step 4: Simplify right side
    2,153.20x = 2,235,183.03
  5. Step 5: Solve for x
    x = 2,235,183.03/2,153.20
  6. Step 6: Final answer
    x = 1,038.07

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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.