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Finding the Fourth Proportional to 2,832, 4,243.26 and 2,006.28

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Solution

The fourth proportional to 2,832, 4,243.26 and 2,006.28 is: 3,006.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832 : 4,243.26 = 2,006.28 : x
  2. Step 2: Convert to fraction form
    2,832/4,243.26 = 2,006.28/x
  3. Step 3: Cross multiply
    2,832x = 4,243.26 × 2,006.28
  4. Step 4: Simplify right side
    2,832x = 8,513,167.67
  5. Step 5: Solve for x
    x = 8,513,167.67/2,832
  6. Step 6: Final answer
    x = 3,006.06

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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.