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Finding the Fourth Proportional to 2,834.59, 4,250.73 and 985.31

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Solution

The fourth proportional to 2,834.59, 4,250.73 and 985.31 is: 1,477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.59 : 4,250.73 = 985.31 : x
  2. Step 2: Convert to fraction form
    2,834.59/4,250.73 = 985.31/x
  3. Step 3: Cross multiply
    2,834.59x = 4,250.73 × 985.31
  4. Step 4: Simplify right side
    2,834.59x = 4,188,286.78
  5. Step 5: Solve for x
    x = 4,188,286.78/2,834.59
  6. Step 6: Final answer
    x = 1,477.56

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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.