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Finding the Fourth Proportional to 4,522.89, 6,781.91 and 1,600.82

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Solution

The fourth proportional to 4,522.89, 6,781.91 and 1,600.82 is: 2,400.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.89 : 6,781.91 = 1,600.82 : x
  2. Step 2: Convert to fraction form
    4,522.89/6,781.91 = 1,600.82/x
  3. Step 3: Cross multiply
    4,522.89x = 6,781.91 × 1,600.82
  4. Step 4: Simplify right side
    4,522.89x = 10,856,617.17
  5. Step 5: Solve for x
    x = 10,856,617.17/4,522.89
  6. Step 6: Final answer
    x = 2,400.37

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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.