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Finding the Fourth Proportional to 2,201.12, 3,301.14 and 968.84

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Solution

The fourth proportional to 2,201.12, 3,301.14 and 968.84 is: 1,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.12 : 3,301.14 = 968.84 : x
  2. Step 2: Convert to fraction form
    2,201.12/3,301.14 = 968.84/x
  3. Step 3: Cross multiply
    2,201.12x = 3,301.14 × 968.84
  4. Step 4: Simplify right side
    2,201.12x = 3,198,276.48
  5. Step 5: Solve for x
    x = 3,198,276.48/2,201.12
  6. Step 6: Final answer
    x = 1,453.02

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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.