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Finding the Fourth Proportional to 2,662.38, 3,674.09 and 1,543.39

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Solution

The fourth proportional to 2,662.38, 3,674.09 and 1,543.39 is: 2,129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.38 : 3,674.09 = 1,543.39 : x
  2. Step 2: Convert to fraction form
    2,662.38/3,674.09 = 1,543.39/x
  3. Step 3: Cross multiply
    2,662.38x = 3,674.09 × 1,543.39
  4. Step 4: Simplify right side
    2,662.38x = 5,670,553.77
  5. Step 5: Solve for x
    x = 5,670,553.77/2,662.38
  6. Step 6: Final answer
    x = 2,129.88

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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.