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Finding the Fourth Proportional to 2,834.67, 3,916.68 and 2,734.86

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Solution

The fourth proportional to 2,834.67, 3,916.68 and 2,734.86 is: 3,778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.67 : 3,916.68 = 2,734.86 : x
  2. Step 2: Convert to fraction form
    2,834.67/3,916.68 = 2,734.86/x
  3. Step 3: Cross multiply
    2,834.67x = 3,916.68 × 2,734.86
  4. Step 4: Simplify right side
    2,834.67x = 10,711,571.46
  5. Step 5: Solve for x
    x = 10,711,571.46/2,834.67
  6. Step 6: Final answer
    x = 3,778.77

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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.