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Finding the Fourth Proportional to 2,843.51, 3,924.05 and 1,664.28

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Solution

The fourth proportional to 2,843.51, 3,924.05 and 1,664.28 is: 2,296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.51 : 3,924.05 = 1,664.28 : x
  2. Step 2: Convert to fraction form
    2,843.51/3,924.05 = 1,664.28/x
  3. Step 3: Cross multiply
    2,843.51x = 3,924.05 × 1,664.28
  4. Step 4: Simplify right side
    2,843.51x = 6,530,709.61
  5. Step 5: Solve for x
    x = 6,530,709.61/2,843.51
  6. Step 6: Final answer
    x = 2,296.71

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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.