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Finding the Fourth Proportional to 2,608.11, 3,911.18 and 758.61

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Solution

The fourth proportional to 2,608.11, 3,911.18 and 758.61 is: 1,137.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.11 : 3,911.18 = 758.61 : x
  2. Step 2: Convert to fraction form
    2,608.11/3,911.18 = 758.61/x
  3. Step 3: Cross multiply
    2,608.11x = 3,911.18 × 758.61
  4. Step 4: Simplify right side
    2,608.11x = 2,967,056.47
  5. Step 5: Solve for x
    x = 2,967,056.47/2,608.11
  6. Step 6: Final answer
    x = 1,137.63

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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.