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Finding the Fourth Proportional to 2,204.21, 3,302.00 and 968.69

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Solution

The fourth proportional to 2,204.21, 3,302.00 and 968.69 is: 1,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.21 : 3,302.00 = 968.69 : x
  2. Step 2: Convert to fraction form
    2,204.21/3,302.00 = 968.69/x
  3. Step 3: Cross multiply
    2,204.21x = 3,302.00 × 968.69
  4. Step 4: Simplify right side
    2,204.21x = 3,198,609.54
  5. Step 5: Solve for x
    x = 3,198,609.54/2,204.21
  6. Step 6: Final answer
    x = 1,451.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.