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Finding the Fourth Proportional to 2,508.66, 3,757.17 and 2,134.38

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Solution

The fourth proportional to 2,508.66, 3,757.17 and 2,134.38 is: 3,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.66 : 3,757.17 = 2,134.38 : x
  2. Step 2: Convert to fraction form
    2,508.66/3,757.17 = 2,134.38/x
  3. Step 3: Cross multiply
    2,508.66x = 3,757.17 × 2,134.38
  4. Step 4: Simplify right side
    2,508.66x = 8,019,228.50
  5. Step 5: Solve for x
    x = 8,019,228.50/2,508.66
  6. Step 6: Final answer
    x = 3,196.62

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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.