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Finding the Fourth Proportional to 3,255.87, 4,492.49 and 1,997.13

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Solution

The fourth proportional to 3,255.87, 4,492.49 and 1,997.13 is: 2,755.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.87 : 4,492.49 = 1,997.13 : x
  2. Step 2: Convert to fraction form
    3,255.87/4,492.49 = 1,997.13/x
  3. Step 3: Cross multiply
    3,255.87x = 4,492.49 × 1,997.13
  4. Step 4: Simplify right side
    3,255.87x = 8,972,086.55
  5. Step 5: Solve for x
    x = 8,972,086.55/3,255.87
  6. Step 6: Final answer
    x = 2,755.66

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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.