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Finding the Fourth Proportional to 3,294.06, 4,942.10 and 1,346.41

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Solution

The fourth proportional to 3,294.06, 4,942.10 and 1,346.41 is: 2,020.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.06 : 4,942.10 = 1,346.41 : x
  2. Step 2: Convert to fraction form
    3,294.06/4,942.10 = 1,346.41/x
  3. Step 3: Cross multiply
    3,294.06x = 4,942.10 × 1,346.41
  4. Step 4: Simplify right side
    3,294.06x = 6,654,092.86
  5. Step 5: Solve for x
    x = 6,654,092.86/3,294.06
  6. Step 6: Final answer
    x = 2,020.03

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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.