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Finding the Fourth Proportional to 2,843.55, 3,924.09 and 1,664.39

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Solution

The fourth proportional to 2,843.55, 3,924.09 and 1,664.39 is: 2,296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.55 : 3,924.09 = 1,664.39 : x
  2. Step 2: Convert to fraction form
    2,843.55/3,924.09 = 1,664.39/x
  3. Step 3: Cross multiply
    2,843.55x = 3,924.09 × 1,664.39
  4. Step 4: Simplify right side
    2,843.55x = 6,531,196.53
  5. Step 5: Solve for x
    x = 6,531,196.53/2,843.55
  6. Step 6: Final answer
    x = 2,296.85

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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.