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Finding the Fourth Proportional to 2,834.31, 4,251.83 and 985.56

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Solution

The fourth proportional to 2,834.31, 4,251.83 and 985.56 is: 1,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.31 : 4,251.83 = 985.56 : x
  2. Step 2: Convert to fraction form
    2,834.31/4,251.83 = 985.56/x
  3. Step 3: Cross multiply
    2,834.31x = 4,251.83 × 985.56
  4. Step 4: Simplify right side
    2,834.31x = 4,190,433.57
  5. Step 5: Solve for x
    x = 4,190,433.57/2,834.31
  6. Step 6: Final answer
    x = 1,478.47

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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.