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Finding the Fourth Proportional to 2,529.36, 3,791.44 and 968.94

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Solution

The fourth proportional to 2,529.36, 3,791.44 and 968.94 is: 1,452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.36 : 3,791.44 = 968.94 : x
  2. Step 2: Convert to fraction form
    2,529.36/3,791.44 = 968.94/x
  3. Step 3: Cross multiply
    2,529.36x = 3,791.44 × 968.94
  4. Step 4: Simplify right side
    2,529.36x = 3,673,679.08
  5. Step 5: Solve for x
    x = 3,673,679.08/2,529.36
  6. Step 6: Final answer
    x = 1,452.41

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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.