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Finding the Fourth Proportional to 2,168.17, 3,252.78 and 629.17

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Solution

The fourth proportional to 2,168.17, 3,252.78 and 629.17 is: 943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.17 : 3,252.78 = 629.17 : x
  2. Step 2: Convert to fraction form
    2,168.17/3,252.78 = 629.17/x
  3. Step 3: Cross multiply
    2,168.17x = 3,252.78 × 629.17
  4. Step 4: Simplify right side
    2,168.17x = 2,046,543.46
  5. Step 5: Solve for x
    x = 2,046,543.46/2,168.17
  6. Step 6: Final answer
    x = 943.90

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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.