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Finding the Fourth Proportional to 2,452.59, 3,679.14 and 809.26

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Solution

The fourth proportional to 2,452.59, 3,679.14 and 809.26 is: 1,213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.59 : 3,679.14 = 809.26 : x
  2. Step 2: Convert to fraction form
    2,452.59/3,679.14 = 809.26/x
  3. Step 3: Cross multiply
    2,452.59x = 3,679.14 × 809.26
  4. Step 4: Simplify right side
    2,452.59x = 2,977,380.84
  5. Step 5: Solve for x
    x = 2,977,380.84/2,452.59
  6. Step 6: Final answer
    x = 1,213.97

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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.