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Finding the Fourth Proportional to 2,197.34, 3,296.58 and 964.99

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Solution

The fourth proportional to 2,197.34, 3,296.58 and 964.99 is: 1,447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.34 : 3,296.58 = 964.99 : x
  2. Step 2: Convert to fraction form
    2,197.34/3,296.58 = 964.99/x
  3. Step 3: Cross multiply
    2,197.34x = 3,296.58 × 964.99
  4. Step 4: Simplify right side
    2,197.34x = 3,181,166.73
  5. Step 5: Solve for x
    x = 3,181,166.73/2,197.34
  6. Step 6: Final answer
    x = 1,447.74

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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.