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Finding the Fourth Proportional to 2,142.62, 3,214.16 and 681.43

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Solution

The fourth proportional to 2,142.62, 3,214.16 and 681.43 is: 1,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.62 : 3,214.16 = 681.43 : x
  2. Step 2: Convert to fraction form
    2,142.62/3,214.16 = 681.43/x
  3. Step 3: Cross multiply
    2,142.62x = 3,214.16 × 681.43
  4. Step 4: Simplify right side
    2,142.62x = 2,190,205.57
  5. Step 5: Solve for x
    x = 2,190,205.57/2,142.62
  6. Step 6: Final answer
    x = 1,022.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.