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Finding the Fourth Proportional to 3,016.88, 4,524.84 and 825.78

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Solution

The fourth proportional to 3,016.88, 4,524.84 and 825.78 is: 1,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.88 : 4,524.84 = 825.78 : x
  2. Step 2: Convert to fraction form
    3,016.88/4,524.84 = 825.78/x
  3. Step 3: Cross multiply
    3,016.88x = 4,524.84 × 825.78
  4. Step 4: Simplify right side
    3,016.88x = 3,736,522.38
  5. Step 5: Solve for x
    x = 3,736,522.38/3,016.88
  6. Step 6: Final answer
    x = 1,238.54

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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.