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Finding the Fourth Proportional to 1,608.43, 2,408.71 and 1,452.60

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Solution

The fourth proportional to 1,608.43, 2,408.71 and 1,452.60 is: 2,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.43 : 2,408.71 = 1,452.60 : x
  2. Step 2: Convert to fraction form
    1,608.43/2,408.71 = 1,452.60/x
  3. Step 3: Cross multiply
    1,608.43x = 2,408.71 × 1,452.60
  4. Step 4: Simplify right side
    1,608.43x = 3,498,892.15
  5. Step 5: Solve for x
    x = 3,498,892.15/1,608.43
  6. Step 6: Final answer
    x = 2,175.35

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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.