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Finding the Fourth Proportional to 3,073.70, 4,612.18 and 1,843.54

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Solution

The fourth proportional to 3,073.70, 4,612.18 and 1,843.54 is: 2,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.70 : 4,612.18 = 1,843.54 : x
  2. Step 2: Convert to fraction form
    3,073.70/4,612.18 = 1,843.54/x
  3. Step 3: Cross multiply
    3,073.70x = 4,612.18 × 1,843.54
  4. Step 4: Simplify right side
    3,073.70x = 8,502,738.32
  5. Step 5: Solve for x
    x = 8,502,738.32/3,073.70
  6. Step 6: Final answer
    x = 2,766.29

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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.