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Finding the Fourth Proportional to 3,369.38, 4,648.96 and 2,042.82

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Solution

The fourth proportional to 3,369.38, 4,648.96 and 2,042.82 is: 2,818.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.38 : 4,648.96 = 2,042.82 : x
  2. Step 2: Convert to fraction form
    3,369.38/4,648.96 = 2,042.82/x
  3. Step 3: Cross multiply
    3,369.38x = 4,648.96 × 2,042.82
  4. Step 4: Simplify right side
    3,369.38x = 9,496,988.47
  5. Step 5: Solve for x
    x = 9,496,988.47/3,369.38
  6. Step 6: Final answer
    x = 2,818.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.