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Finding the Fourth Proportional to 3,202.26, 4,799.62 and 1,445.22

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Solution

The fourth proportional to 3,202.26, 4,799.62 and 1,445.22 is: 2,166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.26 : 4,799.62 = 1,445.22 : x
  2. Step 2: Convert to fraction form
    3,202.26/4,799.62 = 1,445.22/x
  3. Step 3: Cross multiply
    3,202.26x = 4,799.62 × 1,445.22
  4. Step 4: Simplify right side
    3,202.26x = 6,936,506.82
  5. Step 5: Solve for x
    x = 6,936,506.82/3,202.26
  6. Step 6: Final answer
    x = 2,166.13

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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.