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Finding the Fourth Proportional to 1,641.73, 2,462.84 and 667.63

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Solution

The fourth proportional to 1,641.73, 2,462.84 and 667.63 is: 1,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.73 : 2,462.84 = 667.63 : x
  2. Step 2: Convert to fraction form
    1,641.73/2,462.84 = 667.63/x
  3. Step 3: Cross multiply
    1,641.73x = 2,462.84 × 667.63
  4. Step 4: Simplify right side
    1,641.73x = 1,644,265.87
  5. Step 5: Solve for x
    x = 1,644,265.87/1,641.73
  6. Step 6: Final answer
    x = 1,001.54

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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.