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Finding the Fourth Proportional to 3,049.12, 4,207.81 and 1,651.87

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Solution

The fourth proportional to 3,049.12, 4,207.81 and 1,651.87 is: 2,279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.12 : 4,207.81 = 1,651.87 : x
  2. Step 2: Convert to fraction form
    3,049.12/4,207.81 = 1,651.87/x
  3. Step 3: Cross multiply
    3,049.12x = 4,207.81 × 1,651.87
  4. Step 4: Simplify right side
    3,049.12x = 6,950,734.07
  5. Step 5: Solve for x
    x = 6,950,734.07/3,049.12
  6. Step 6: Final answer
    x = 2,279.59

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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.