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Finding the Fourth Proportional to 3,081.57, 4,252.62 and 1,684.32

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Solution

The fourth proportional to 3,081.57, 4,252.62 and 1,684.32 is: 2,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.57 : 4,252.62 = 1,684.32 : x
  2. Step 2: Convert to fraction form
    3,081.57/4,252.62 = 1,684.32/x
  3. Step 3: Cross multiply
    3,081.57x = 4,252.62 × 1,684.32
  4. Step 4: Simplify right side
    3,081.57x = 7,162,772.92
  5. Step 5: Solve for x
    x = 7,162,772.92/3,081.57
  6. Step 6: Final answer
    x = 2,324.39

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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.