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Finding the Fourth Proportional to 3,016.42, 4,524.90 and 825.16

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Solution

The fourth proportional to 3,016.42, 4,524.90 and 825.16 is: 1,237.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.42 : 4,524.90 = 825.16 : x
  2. Step 2: Convert to fraction form
    3,016.42/4,524.90 = 825.16/x
  3. Step 3: Cross multiply
    3,016.42x = 4,524.90 × 825.16
  4. Step 4: Simplify right side
    3,016.42x = 3,733,766.48
  5. Step 5: Solve for x
    x = 3,733,766.48/3,016.42
  6. Step 6: Final answer
    x = 1,237.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.