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Finding the Fourth Proportional to 3,016.12, 4,524.20 and 824.80

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Solution

The fourth proportional to 3,016.12, 4,524.20 and 824.80 is: 1,237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.12 : 4,524.20 = 824.80 : x
  2. Step 2: Convert to fraction form
    3,016.12/4,524.20 = 824.80/x
  3. Step 3: Cross multiply
    3,016.12x = 4,524.20 × 824.80
  4. Step 4: Simplify right side
    3,016.12x = 3,731,560.16
  5. Step 5: Solve for x
    x = 3,731,560.16/3,016.12
  6. Step 6: Final answer
    x = 1,237.21

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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.