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Finding the Fourth Proportional to 2,203.32, 3,301.92 and 968.88

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Solution

The fourth proportional to 2,203.32, 3,301.92 and 968.88 is: 1,451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.32 : 3,301.92 = 968.88 : x
  2. Step 2: Convert to fraction form
    2,203.32/3,301.92 = 968.88/x
  3. Step 3: Cross multiply
    2,203.32x = 3,301.92 × 968.88
  4. Step 4: Simplify right side
    2,203.32x = 3,199,164.25
  5. Step 5: Solve for x
    x = 3,199,164.25/2,203.32
  6. Step 6: Final answer
    x = 1,451.97

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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.