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Finding the Fourth Proportional to 3,295.22, 4,942.46 and 830.03

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Solution

The fourth proportional to 3,295.22, 4,942.46 and 830.03 is: 1,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.22 : 4,942.46 = 830.03 : x
  2. Step 2: Convert to fraction form
    3,295.22/4,942.46 = 830.03/x
  3. Step 3: Cross multiply
    3,295.22x = 4,942.46 × 830.03
  4. Step 4: Simplify right side
    3,295.22x = 4,102,398.28
  5. Step 5: Solve for x
    x = 4,102,398.28/3,295.22
  6. Step 6: Final answer
    x = 1,244.96

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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.