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Finding the Fourth Proportional to 2,245.36, 3,367.86 and 946.78

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Solution

The fourth proportional to 2,245.36, 3,367.86 and 946.78 is: 1,420.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.36 : 3,367.86 = 946.78 : x
  2. Step 2: Convert to fraction form
    2,245.36/3,367.86 = 946.78/x
  3. Step 3: Cross multiply
    2,245.36x = 3,367.86 × 946.78
  4. Step 4: Simplify right side
    2,245.36x = 3,188,622.49
  5. Step 5: Solve for x
    x = 3,188,622.49/2,245.36
  6. Step 6: Final answer
    x = 1,420.09

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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.