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Finding the Fourth Proportional to 3,166.67, 4,369.92 and 1,769.42

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Solution

The fourth proportional to 3,166.67, 4,369.92 and 1,769.42 is: 2,441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.67 : 4,369.92 = 1,769.42 : x
  2. Step 2: Convert to fraction form
    3,166.67/4,369.92 = 1,769.42/x
  3. Step 3: Cross multiply
    3,166.67x = 4,369.92 × 1,769.42
  4. Step 4: Simplify right side
    3,166.67x = 7,732,223.85
  5. Step 5: Solve for x
    x = 7,732,223.85/3,166.67
  6. Step 6: Final answer
    x = 2,441.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.