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Finding the Fourth Proportional to 2,834.06, 4,251.45 and 985.31

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Solution

The fourth proportional to 2,834.06, 4,251.45 and 985.31 is: 1,478.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.06 : 4,251.45 = 985.31 : x
  2. Step 2: Convert to fraction form
    2,834.06/4,251.45 = 985.31/x
  3. Step 3: Cross multiply
    2,834.06x = 4,251.45 × 985.31
  4. Step 4: Simplify right side
    2,834.06x = 4,188,994.58
  5. Step 5: Solve for x
    x = 4,188,994.58/2,834.06
  6. Step 6: Final answer
    x = 1,478.09

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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.