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Finding the Fourth Proportional to 2,200.72, 3,301.60 and 968.40

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Solution

The fourth proportional to 2,200.72, 3,301.60 and 968.40 is: 1,452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.72 : 3,301.60 = 968.40 : x
  2. Step 2: Convert to fraction form
    2,200.72/3,301.60 = 968.40/x
  3. Step 3: Cross multiply
    2,200.72x = 3,301.60 × 968.40
  4. Step 4: Simplify right side
    2,200.72x = 3,197,269.44
  5. Step 5: Solve for x
    x = 3,197,269.44/2,200.72
  6. Step 6: Final answer
    x = 1,452.83

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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.