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Finding the Fourth Proportional to 1,638.41, 2,455.76 and 650.31

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Solution

The fourth proportional to 1,638.41, 2,455.76 and 650.31 is: 974.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.41 : 2,455.76 = 650.31 : x
  2. Step 2: Convert to fraction form
    1,638.41/2,455.76 = 650.31/x
  3. Step 3: Cross multiply
    1,638.41x = 2,455.76 × 650.31
  4. Step 4: Simplify right side
    1,638.41x = 1,597,002.03
  5. Step 5: Solve for x
    x = 1,597,002.03/1,638.41
  6. Step 6: Final answer
    x = 974.73

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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.