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Finding the Fourth Proportional to 1,963.10, 2,942.82 and 663.66

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Solution

The fourth proportional to 1,963.10, 2,942.82 and 663.66 is: 994.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.10 : 2,942.82 = 663.66 : x
  2. Step 2: Convert to fraction form
    1,963.10/2,942.82 = 663.66/x
  3. Step 3: Cross multiply
    1,963.10x = 2,942.82 × 663.66
  4. Step 4: Simplify right side
    1,963.10x = 1,953,031.92
  5. Step 5: Solve for x
    x = 1,953,031.92/1,963.10
  6. Step 6: Final answer
    x = 994.87

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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.