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Finding the Fourth Proportional to 2,142.03, 3,213.20 and 681.30

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Solution

The fourth proportional to 2,142.03, 3,213.20 and 681.30 is: 1,022.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.03 : 3,213.20 = 681.30 : x
  2. Step 2: Convert to fraction form
    2,142.03/3,213.20 = 681.30/x
  3. Step 3: Cross multiply
    2,142.03x = 3,213.20 × 681.30
  4. Step 4: Simplify right side
    2,142.03x = 2,189,149.75
  5. Step 5: Solve for x
    x = 2,189,149.75/2,142.03
  6. Step 6: Final answer
    x = 1,022.00

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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.