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Finding the Fourth Proportional to 2,834.73, 3,913.86 and 2,170.41

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Solution

The fourth proportional to 2,834.73, 3,913.86 and 2,170.41 is: 2,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.73 : 3,913.86 = 2,170.41 : x
  2. Step 2: Convert to fraction form
    2,834.73/3,913.86 = 2,170.41/x
  3. Step 3: Cross multiply
    2,834.73x = 3,913.86 × 2,170.41
  4. Step 4: Simplify right side
    2,834.73x = 8,494,680.88
  5. Step 5: Solve for x
    x = 8,494,680.88/2,834.73
  6. Step 6: Final answer
    x = 2,996.65

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