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Finding the Fourth Proportional to 3,281.82, 4,913.92 and 2,046.77

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Solution

The fourth proportional to 3,281.82, 4,913.92 and 2,046.77 is: 3,064.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.82 : 4,913.92 = 2,046.77 : x
  2. Step 2: Convert to fraction form
    3,281.82/4,913.92 = 2,046.77/x
  3. Step 3: Cross multiply
    3,281.82x = 4,913.92 × 2,046.77
  4. Step 4: Simplify right side
    3,281.82x = 10,057,648.94
  5. Step 5: Solve for x
    x = 10,057,648.94/3,281.82
  6. Step 6: Final answer
    x = 3,064.66

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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.