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Finding the Fourth Proportional to 3,016.28, 4,524.36 and 824.96

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Solution

The fourth proportional to 3,016.28, 4,524.36 and 824.96 is: 1,237.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.28 : 4,524.36 = 824.96 : x
  2. Step 2: Convert to fraction form
    3,016.28/4,524.36 = 824.96/x
  3. Step 3: Cross multiply
    3,016.28x = 4,524.36 × 824.96
  4. Step 4: Simplify right side
    3,016.28x = 3,732,416.03
  5. Step 5: Solve for x
    x = 3,732,416.03/3,016.28
  6. Step 6: Final answer
    x = 1,237.42

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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.