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Finding the Fourth Proportional to 2,245.68, 3,367.64 and 946.80

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Solution

The fourth proportional to 2,245.68, 3,367.64 and 946.80 is: 1,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.68 : 3,367.64 = 946.80 : x
  2. Step 2: Convert to fraction form
    2,245.68/3,367.64 = 946.80/x
  3. Step 3: Cross multiply
    2,245.68x = 3,367.64 × 946.80
  4. Step 4: Simplify right side
    2,245.68x = 3,188,481.55
  5. Step 5: Solve for x
    x = 3,188,481.55/2,245.68
  6. Step 6: Final answer
    x = 1,419.83

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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.