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Finding the Fourth Proportional to 3,006.44, 4,511.28 and 1,467.44

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Solution

The fourth proportional to 3,006.44, 4,511.28 and 1,467.44 is: 2,201.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.44 : 4,511.28 = 1,467.44 : x
  2. Step 2: Convert to fraction form
    3,006.44/4,511.28 = 1,467.44/x
  3. Step 3: Cross multiply
    3,006.44x = 4,511.28 × 1,467.44
  4. Step 4: Simplify right side
    3,006.44x = 6,620,032.72
  5. Step 5: Solve for x
    x = 6,620,032.72/3,006.44
  6. Step 6: Final answer
    x = 2,201.95

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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.