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Finding the Fourth Proportional to 3,295.08, 4,942.49 and 829.87

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Solution

The fourth proportional to 3,295.08, 4,942.49 and 829.87 is: 1,244.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.08 : 4,942.49 = 829.87 : x
  2. Step 2: Convert to fraction form
    3,295.08/4,942.49 = 829.87/x
  3. Step 3: Cross multiply
    3,295.08x = 4,942.49 × 829.87
  4. Step 4: Simplify right side
    3,295.08x = 4,101,613.89
  5. Step 5: Solve for x
    x = 4,101,613.89/3,295.08
  6. Step 6: Final answer
    x = 1,244.77

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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.