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Finding the Fourth Proportional to 2,553.98, 3,832.45 and 995.06

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Solution

The fourth proportional to 2,553.98, 3,832.45 and 995.06 is: 1,493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.98 : 3,832.45 = 995.06 : x
  2. Step 2: Convert to fraction form
    2,553.98/3,832.45 = 995.06/x
  3. Step 3: Cross multiply
    2,553.98x = 3,832.45 × 995.06
  4. Step 4: Simplify right side
    2,553.98x = 3,813,517.70
  5. Step 5: Solve for x
    x = 3,813,517.70/2,553.98
  6. Step 6: Final answer
    x = 1,493.17

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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.