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Finding the Fourth Proportional to 3,202.62, 4,419.18 and 1,786.25

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Solution

The fourth proportional to 3,202.62, 4,419.18 and 1,786.25 is: 2,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.62 : 4,419.18 = 1,786.25 : x
  2. Step 2: Convert to fraction form
    3,202.62/4,419.18 = 1,786.25/x
  3. Step 3: Cross multiply
    3,202.62x = 4,419.18 × 1,786.25
  4. Step 4: Simplify right side
    3,202.62x = 7,893,738.18
  5. Step 5: Solve for x
    x = 7,893,738.18/3,202.62
  6. Step 6: Final answer
    x = 2,464.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.