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Finding the Fourth Proportional to 2,684, 3,705.36 and 2,093.12

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Solution

The fourth proportional to 2,684, 3,705.36 and 2,093.12 is: 2,889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684 : 3,705.36 = 2,093.12 : x
  2. Step 2: Convert to fraction form
    2,684/3,705.36 = 2,093.12/x
  3. Step 3: Cross multiply
    2,684x = 3,705.36 × 2,093.12
  4. Step 4: Simplify right side
    2,684x = 7,755,763.12
  5. Step 5: Solve for x
    x = 7,755,763.12/2,684
  6. Step 6: Final answer
    x = 2,889.63

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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.