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Finding the Fourth Proportional to 2,198.56, 3,294.60 and 964.84

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Solution

The fourth proportional to 2,198.56, 3,294.60 and 964.84 is: 1,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.56 : 3,294.60 = 964.84 : x
  2. Step 2: Convert to fraction form
    2,198.56/3,294.60 = 964.84/x
  3. Step 3: Cross multiply
    2,198.56x = 3,294.60 × 964.84
  4. Step 4: Simplify right side
    2,198.56x = 3,178,761.86
  5. Step 5: Solve for x
    x = 3,178,761.86/2,198.56
  6. Step 6: Final answer
    x = 1,445.84

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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.