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Finding the Fourth Proportional to 3,166.38, 4,369.14 and 1,769.40

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Solution

The fourth proportional to 3,166.38, 4,369.14 and 1,769.40 is: 2,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.38 : 4,369.14 = 1,769.40 : x
  2. Step 2: Convert to fraction form
    3,166.38/4,369.14 = 1,769.40/x
  3. Step 3: Cross multiply
    3,166.38x = 4,369.14 × 1,769.40
  4. Step 4: Simplify right side
    3,166.38x = 7,730,756.32
  5. Step 5: Solve for x
    x = 7,730,756.32/3,166.38
  6. Step 6: Final answer
    x = 2,441.51

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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.