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Finding the Fourth Proportional to 2,147, 3,218.97 and 976.42

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Solution

The fourth proportional to 2,147, 3,218.97 and 976.42 is: 1,463.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147 : 3,218.97 = 976.42 : x
  2. Step 2: Convert to fraction form
    2,147/3,218.97 = 976.42/x
  3. Step 3: Cross multiply
    2,147x = 3,218.97 × 976.42
  4. Step 4: Simplify right side
    2,147x = 3,143,050.59
  5. Step 5: Solve for x
    x = 3,143,050.59/2,147
  6. Step 6: Final answer
    x = 1,463.93

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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.