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Finding the Fourth Proportional to 2,154.91, 3,229.56 and 968.07

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Solution

The fourth proportional to 2,154.91, 3,229.56 and 968.07 is: 1,450.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.91 : 3,229.56 = 968.07 : x
  2. Step 2: Convert to fraction form
    2,154.91/3,229.56 = 968.07/x
  3. Step 3: Cross multiply
    2,154.91x = 3,229.56 × 968.07
  4. Step 4: Simplify right side
    2,154.91x = 3,126,440.15
  5. Step 5: Solve for x
    x = 3,126,440.15/2,154.91
  6. Step 6: Final answer
    x = 1,450.85

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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.