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Finding the Fourth Proportional to 2,122.03, 3,183.24 and 562.03

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Solution

The fourth proportional to 2,122.03, 3,183.24 and 562.03 is: 843.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.03 : 3,183.24 = 562.03 : x
  2. Step 2: Convert to fraction form
    2,122.03/3,183.24 = 562.03/x
  3. Step 3: Cross multiply
    2,122.03x = 3,183.24 × 562.03
  4. Step 4: Simplify right side
    2,122.03x = 1,789,076.38
  5. Step 5: Solve for x
    x = 1,789,076.38/2,122.03
  6. Step 6: Final answer
    x = 843.10

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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.