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Finding the Fourth Proportional to 1,640.52, 2,462.60 and 667.30

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Solution

The fourth proportional to 1,640.52, 2,462.60 and 667.30 is: 1,001.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.52 : 2,462.60 = 667.30 : x
  2. Step 2: Convert to fraction form
    1,640.52/2,462.60 = 667.30/x
  3. Step 3: Cross multiply
    1,640.52x = 2,462.60 × 667.30
  4. Step 4: Simplify right side
    1,640.52x = 1,643,292.98
  5. Step 5: Solve for x
    x = 1,643,292.98/1,640.52
  6. Step 6: Final answer
    x = 1,001.69

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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.