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Finding the Fourth Proportional to 3,008.70, 4,151.97 and 1,664.33

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Solution

The fourth proportional to 3,008.70, 4,151.97 and 1,664.33 is: 2,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.70 : 4,151.97 = 1,664.33 : x
  2. Step 2: Convert to fraction form
    3,008.70/4,151.97 = 1,664.33/x
  3. Step 3: Cross multiply
    3,008.70x = 4,151.97 × 1,664.33
  4. Step 4: Simplify right side
    3,008.70x = 6,910,227.47
  5. Step 5: Solve for x
    x = 6,910,227.47/3,008.70
  6. Step 6: Final answer
    x = 2,296.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.