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Finding the Fourth Proportional to 3,092.85, 4,638.56 and 1,843.79

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Solution

The fourth proportional to 3,092.85, 4,638.56 and 1,843.79 is: 2,765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.85 : 4,638.56 = 1,843.79 : x
  2. Step 2: Convert to fraction form
    3,092.85/4,638.56 = 1,843.79/x
  3. Step 3: Cross multiply
    3,092.85x = 4,638.56 × 1,843.79
  4. Step 4: Simplify right side
    3,092.85x = 8,552,548.50
  5. Step 5: Solve for x
    x = 8,552,548.50/3,092.85
  6. Step 6: Final answer
    x = 2,765.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.