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Finding the Fourth Proportional to 2,142.02, 3,213.17 and 681.23

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Solution

The fourth proportional to 2,142.02, 3,213.17 and 681.23 is: 1,021.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.02 : 3,213.17 = 681.23 : x
  2. Step 2: Convert to fraction form
    2,142.02/3,213.17 = 681.23/x
  3. Step 3: Cross multiply
    2,142.02x = 3,213.17 × 681.23
  4. Step 4: Simplify right side
    2,142.02x = 2,188,904.39
  5. Step 5: Solve for x
    x = 2,188,904.39/2,142.02
  6. Step 6: Final answer
    x = 1,021.89

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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.