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Finding the Fourth Proportional to 2,245.22, 3,367.83 and 706.22

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Solution

The fourth proportional to 2,245.22, 3,367.83 and 706.22 is: 1,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.22 : 3,367.83 = 706.22 : x
  2. Step 2: Convert to fraction form
    2,245.22/3,367.83 = 706.22/x
  3. Step 3: Cross multiply
    2,245.22x = 3,367.83 × 706.22
  4. Step 4: Simplify right side
    2,245.22x = 2,378,423.37
  5. Step 5: Solve for x
    x = 2,378,423.37/2,245.22
  6. Step 6: Final answer
    x = 1,059.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.