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Finding the Fourth Proportional to 2,843.39, 3,924.72 and 1,900.55

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Solution

The fourth proportional to 2,843.39, 3,924.72 and 1,900.55 is: 2,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.39 : 3,924.72 = 1,900.55 : x
  2. Step 2: Convert to fraction form
    2,843.39/3,924.72 = 1,900.55/x
  3. Step 3: Cross multiply
    2,843.39x = 3,924.72 × 1,900.55
  4. Step 4: Simplify right side
    2,843.39x = 7,459,106.97
  5. Step 5: Solve for x
    x = 7,459,106.97/2,843.39
  6. Step 6: Final answer
    x = 2,623.32

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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.