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Finding the Fourth Proportional to 2,201.72, 3,301.29 and 968.63

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Solution

The fourth proportional to 2,201.72, 3,301.29 and 968.63 is: 1,452.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.72 : 3,301.29 = 968.63 : x
  2. Step 2: Convert to fraction form
    2,201.72/3,301.29 = 968.63/x
  3. Step 3: Cross multiply
    2,201.72x = 3,301.29 × 968.63
  4. Step 4: Simplify right side
    2,201.72x = 3,197,712.03
  5. Step 5: Solve for x
    x = 3,197,712.03/2,201.72
  6. Step 6: Final answer
    x = 1,452.37

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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.