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Finding the Fourth Proportional to 2,201.97, 3,300.63 and 968.34

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Solution

The fourth proportional to 2,201.97, 3,300.63 and 968.34 is: 1,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.97 : 3,300.63 = 968.34 : x
  2. Step 2: Convert to fraction form
    2,201.97/3,300.63 = 968.34/x
  3. Step 3: Cross multiply
    2,201.97x = 3,300.63 × 968.34
  4. Step 4: Simplify right side
    2,201.97x = 3,196,132.05
  5. Step 5: Solve for x
    x = 3,196,132.05/2,201.97
  6. Step 6: Final answer
    x = 1,451.49

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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.