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Finding the Fourth Proportional to 3,211.52, 4,815.11 and 1,649.57

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Solution

The fourth proportional to 3,211.52, 4,815.11 and 1,649.57 is: 2,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.52 : 4,815.11 = 1,649.57 : x
  2. Step 2: Convert to fraction form
    3,211.52/4,815.11 = 1,649.57/x
  3. Step 3: Cross multiply
    3,211.52x = 4,815.11 × 1,649.57
  4. Step 4: Simplify right side
    3,211.52x = 7,942,841.05
  5. Step 5: Solve for x
    x = 7,942,841.05/3,211.52
  6. Step 6: Final answer
    x = 2,473.24

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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.