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Finding the Fourth Proportional to 3,951.67, 5,923.38 and 1,610.67

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Solution

The fourth proportional to 3,951.67, 5,923.38 and 1,610.67 is: 2,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.67 : 5,923.38 = 1,610.67 : x
  2. Step 2: Convert to fraction form
    3,951.67/5,923.38 = 1,610.67/x
  3. Step 3: Cross multiply
    3,951.67x = 5,923.38 × 1,610.67
  4. Step 4: Simplify right side
    3,951.67x = 9,540,610.46
  5. Step 5: Solve for x
    x = 9,540,610.46/3,951.67
  6. Step 6: Final answer
    x = 2,414.32

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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.