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Finding the Fourth Proportional to 2,834.46, 4,252.13 and 1,447.05

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Solution

The fourth proportional to 2,834.46, 4,252.13 and 1,447.05 is: 2,170.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.46 : 4,252.13 = 1,447.05 : x
  2. Step 2: Convert to fraction form
    2,834.46/4,252.13 = 1,447.05/x
  3. Step 3: Cross multiply
    2,834.46x = 4,252.13 × 1,447.05
  4. Step 4: Simplify right side
    2,834.46x = 6,153,023.46
  5. Step 5: Solve for x
    x = 6,153,023.46/2,834.46
  6. Step 6: Final answer
    x = 2,170.79

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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.