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Finding the Fourth Proportional to 2,850.49, 3,930.58 and 1,853.92

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Solution

The fourth proportional to 2,850.49, 3,930.58 and 1,853.92 is: 2,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.49 : 3,930.58 = 1,853.92 : x
  2. Step 2: Convert to fraction form
    2,850.49/3,930.58 = 1,853.92/x
  3. Step 3: Cross multiply
    2,850.49x = 3,930.58 × 1,853.92
  4. Step 4: Simplify right side
    2,850.49x = 7,286,971.60
  5. Step 5: Solve for x
    x = 7,286,971.60/2,850.49
  6. Step 6: Final answer
    x = 2,556.39

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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.