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Finding the Fourth Proportional to 2,834.20, 4,248.78 and 983.80

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Solution

The fourth proportional to 2,834.20, 4,248.78 and 983.80 is: 1,474.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.20 : 4,248.78 = 983.80 : x
  2. Step 2: Convert to fraction form
    2,834.20/4,248.78 = 983.80/x
  3. Step 3: Cross multiply
    2,834.20x = 4,248.78 × 983.80
  4. Step 4: Simplify right side
    2,834.20x = 4,179,949.76
  5. Step 5: Solve for x
    x = 4,179,949.76/2,834.20
  6. Step 6: Final answer
    x = 1,474.83

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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.