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Finding the Fourth Proportional to 3,294.99, 4,942.62 and 1,103.94

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Solution

The fourth proportional to 3,294.99, 4,942.62 and 1,103.94 is: 1,655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.99 : 4,942.62 = 1,103.94 : x
  2. Step 2: Convert to fraction form
    3,294.99/4,942.62 = 1,103.94/x
  3. Step 3: Cross multiply
    3,294.99x = 4,942.62 × 1,103.94
  4. Step 4: Simplify right side
    3,294.99x = 5,456,355.92
  5. Step 5: Solve for x
    x = 5,456,355.92/3,294.99
  6. Step 6: Final answer
    x = 1,655.96

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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.