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Finding the Fourth Proportional to 2,834.87, 4,251.92 and 985.82

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Solution

The fourth proportional to 2,834.87, 4,251.92 and 985.82 is: 1,478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.87 : 4,251.92 = 985.82 : x
  2. Step 2: Convert to fraction form
    2,834.87/4,251.92 = 985.82/x
  3. Step 3: Cross multiply
    2,834.87x = 4,251.92 × 985.82
  4. Step 4: Simplify right side
    2,834.87x = 4,191,601.59
  5. Step 5: Solve for x
    x = 4,191,601.59/2,834.87
  6. Step 6: Final answer
    x = 1,478.59

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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.