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Finding the Fourth Proportional to 2,201.32, 3,300.86 and 968.20

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Solution

The fourth proportional to 2,201.32, 3,300.86 and 968.20 is: 1,451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.32 : 3,300.86 = 968.20 : x
  2. Step 2: Convert to fraction form
    2,201.32/3,300.86 = 968.20/x
  3. Step 3: Cross multiply
    2,201.32x = 3,300.86 × 968.20
  4. Step 4: Simplify right side
    2,201.32x = 3,195,886.82
  5. Step 5: Solve for x
    x = 3,195,886.82/2,201.32
  6. Step 6: Final answer
    x = 1,451.81

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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.