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Finding the Fourth Proportional to 3,016.48, 4,523.98 and 825.22

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Solution

The fourth proportional to 3,016.48, 4,523.98 and 825.22 is: 1,237.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.48 : 4,523.98 = 825.22 : x
  2. Step 2: Convert to fraction form
    3,016.48/4,523.98 = 825.22/x
  3. Step 3: Cross multiply
    3,016.48x = 4,523.98 × 825.22
  4. Step 4: Simplify right side
    3,016.48x = 3,733,278.78
  5. Step 5: Solve for x
    x = 3,733,278.78/3,016.48
  6. Step 6: Final answer
    x = 1,237.63

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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.