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Finding the Fourth Proportional to 3,205.25, 4,804.10 and 1,448.20

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Solution

The fourth proportional to 3,205.25, 4,804.10 and 1,448.20 is: 2,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.25 : 4,804.10 = 1,448.20 : x
  2. Step 2: Convert to fraction form
    3,205.25/4,804.10 = 1,448.20/x
  3. Step 3: Cross multiply
    3,205.25x = 4,804.10 × 1,448.20
  4. Step 4: Simplify right side
    3,205.25x = 6,957,297.62
  5. Step 5: Solve for x
    x = 6,957,297.62/3,205.25
  6. Step 6: Final answer
    x = 2,170.59

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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.