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Finding the Fourth Proportional to 2,031.64, 3,046.83 and 644.62

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Solution

The fourth proportional to 2,031.64, 3,046.83 and 644.62 is: 966.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.64 : 3,046.83 = 644.62 : x
  2. Step 2: Convert to fraction form
    2,031.64/3,046.83 = 644.62/x
  3. Step 3: Cross multiply
    2,031.64x = 3,046.83 × 644.62
  4. Step 4: Simplify right side
    2,031.64x = 1,964,047.55
  5. Step 5: Solve for x
    x = 1,964,047.55/2,031.64
  6. Step 6: Final answer
    x = 966.73

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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.