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Finding the Fourth Proportional to 2,031.09, 3,046.94 and 644.12

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Solution

The fourth proportional to 2,031.09, 3,046.94 and 644.12 is: 966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.09 : 3,046.94 = 644.12 : x
  2. Step 2: Convert to fraction form
    2,031.09/3,046.94 = 644.12/x
  3. Step 3: Cross multiply
    2,031.09x = 3,046.94 × 644.12
  4. Step 4: Simplify right side
    2,031.09x = 1,962,576.54
  5. Step 5: Solve for x
    x = 1,962,576.54/2,031.09
  6. Step 6: Final answer
    x = 966.27

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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.