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Finding the Fourth Proportional to 3,223.98, 4,836.24 and 1,663.38

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Solution

The fourth proportional to 3,223.98, 4,836.24 and 1,663.38 is: 2,495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.98 : 4,836.24 = 1,663.38 : x
  2. Step 2: Convert to fraction form
    3,223.98/4,836.24 = 1,663.38/x
  3. Step 3: Cross multiply
    3,223.98x = 4,836.24 × 1,663.38
  4. Step 4: Simplify right side
    3,223.98x = 8,044,504.89
  5. Step 5: Solve for x
    x = 8,044,504.89/3,223.98
  6. Step 6: Final answer
    x = 2,495.21

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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.