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Finding the Fourth Proportional to 2,031.27, 3,047.13 and 644.73

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Solution

The fourth proportional to 2,031.27, 3,047.13 and 644.73 is: 967.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.27 : 3,047.13 = 644.73 : x
  2. Step 2: Convert to fraction form
    2,031.27/3,047.13 = 644.73/x
  3. Step 3: Cross multiply
    2,031.27x = 3,047.13 × 644.73
  4. Step 4: Simplify right side
    2,031.27x = 1,964,576.12
  5. Step 5: Solve for x
    x = 1,964,576.12/2,031.27
  6. Step 6: Final answer
    x = 967.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.