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Finding the Fourth Proportional to 3,202.42, 4,419.76 and 1,805.44

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Solution

The fourth proportional to 3,202.42, 4,419.76 and 1,805.44 is: 2,491.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.42 : 4,419.76 = 1,805.44 : x
  2. Step 2: Convert to fraction form
    3,202.42/4,419.76 = 1,805.44/x
  3. Step 3: Cross multiply
    3,202.42x = 4,419.76 × 1,805.44
  4. Step 4: Simplify right side
    3,202.42x = 7,979,611.49
  5. Step 5: Solve for x
    x = 7,979,611.49/3,202.42
  6. Step 6: Final answer
    x = 2,491.74

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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.