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Finding the Fourth Proportional to 3,205.76, 4,804.44 and 1,644.44

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Solution

The fourth proportional to 3,205.76, 4,804.44 and 1,644.44 is: 2,464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.76 : 4,804.44 = 1,644.44 : x
  2. Step 2: Convert to fraction form
    3,205.76/4,804.44 = 1,644.44/x
  3. Step 3: Cross multiply
    3,205.76x = 4,804.44 × 1,644.44
  4. Step 4: Simplify right side
    3,205.76x = 7,900,613.31
  5. Step 5: Solve for x
    x = 7,900,613.31/3,205.76
  6. Step 6: Final answer
    x = 2,464.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.