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Finding the Fourth Proportional to 2,108, 3,161.97 and 547.86

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Solution

The fourth proportional to 2,108, 3,161.97 and 547.86 is: 821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108 : 3,161.97 = 547.86 : x
  2. Step 2: Convert to fraction form
    2,108/3,161.97 = 547.86/x
  3. Step 3: Cross multiply
    2,108x = 3,161.97 × 547.86
  4. Step 4: Simplify right side
    2,108x = 1,732,316.88
  5. Step 5: Solve for x
    x = 1,732,316.88/2,108
  6. Step 6: Final answer
    x = 821.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.