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Finding the Fourth Proportional to 3,166.77, 4,369.91 and 1,769.25

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Solution

The fourth proportional to 3,166.77, 4,369.91 and 1,769.25 is: 2,441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.77 : 4,369.91 = 1,769.25 : x
  2. Step 2: Convert to fraction form
    3,166.77/4,369.91 = 1,769.25/x
  3. Step 3: Cross multiply
    3,166.77x = 4,369.91 × 1,769.25
  4. Step 4: Simplify right side
    3,166.77x = 7,731,454.42
  5. Step 5: Solve for x
    x = 7,731,454.42/3,166.77
  6. Step 6: Final answer
    x = 2,441.43

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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.