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Finding the Fourth Proportional to 3,016.98, 4,524.89 and 825.41

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Solution

The fourth proportional to 3,016.98, 4,524.89 and 825.41 is: 1,237.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.98 : 4,524.89 = 825.41 : x
  2. Step 2: Convert to fraction form
    3,016.98/4,524.89 = 825.41/x
  3. Step 3: Cross multiply
    3,016.98x = 4,524.89 × 825.41
  4. Step 4: Simplify right side
    3,016.98x = 3,734,896.64
  5. Step 5: Solve for x
    x = 3,734,896.64/3,016.98
  6. Step 6: Final answer
    x = 1,237.96

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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.