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Finding the Fourth Proportional to 3,447.06, 4,755.42 and 2,049

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Solution

The fourth proportional to 3,447.06, 4,755.42 and 2,049 is: 2,826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.06 : 4,755.42 = 2,049 : x
  2. Step 2: Convert to fraction form
    3,447.06/4,755.42 = 2,049/x
  3. Step 3: Cross multiply
    3,447.06x = 4,755.42 × 2,049
  4. Step 4: Simplify right side
    3,447.06x = 9,743,855.58
  5. Step 5: Solve for x
    x = 9,743,855.58/3,447.06
  6. Step 6: Final answer
    x = 2,826.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.