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Finding the Fourth Proportional to 2,834.04, 4,251.96 and 1,447.74

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Solution

The fourth proportional to 2,834.04, 4,251.96 and 1,447.74 is: 2,172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.04 : 4,251.96 = 1,447.74 : x
  2. Step 2: Convert to fraction form
    2,834.04/4,251.96 = 1,447.74/x
  3. Step 3: Cross multiply
    2,834.04x = 4,251.96 × 1,447.74
  4. Step 4: Simplify right side
    2,834.04x = 6,155,732.57
  5. Step 5: Solve for x
    x = 6,155,732.57/2,834.04
  6. Step 6: Final answer
    x = 2,172.07

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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.