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Finding the Fourth Proportional to 2,529.62, 3,791.84 and 969.26

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Solution

The fourth proportional to 2,529.62, 3,791.84 and 969.26 is: 1,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.62 : 3,791.84 = 969.26 : x
  2. Step 2: Convert to fraction form
    2,529.62/3,791.84 = 969.26/x
  3. Step 3: Cross multiply
    2,529.62x = 3,791.84 × 969.26
  4. Step 4: Simplify right side
    2,529.62x = 3,675,283.47
  5. Step 5: Solve for x
    x = 3,675,283.47/2,529.62
  6. Step 6: Final answer
    x = 1,452.90

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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.