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Finding the Fourth Proportional to 2,031.73, 3,047.29 and 644.89

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Solution

The fourth proportional to 2,031.73, 3,047.29 and 644.89 is: 967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.73 : 3,047.29 = 644.89 : x
  2. Step 2: Convert to fraction form
    2,031.73/3,047.29 = 644.89/x
  3. Step 3: Cross multiply
    2,031.73x = 3,047.29 × 644.89
  4. Step 4: Simplify right side
    2,031.73x = 1,965,157.62
  5. Step 5: Solve for x
    x = 1,965,157.62/2,031.73
  6. Step 6: Final answer
    x = 967.23

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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.