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Finding the Fourth Proportional to 2,894.08, 3,993.81 and 2,010.39

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Solution

The fourth proportional to 2,894.08, 3,993.81 and 2,010.39 is: 2,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.08 : 3,993.81 = 2,010.39 : x
  2. Step 2: Convert to fraction form
    2,894.08/3,993.81 = 2,010.39/x
  3. Step 3: Cross multiply
    2,894.08x = 3,993.81 × 2,010.39
  4. Step 4: Simplify right side
    2,894.08x = 8,029,126.87
  5. Step 5: Solve for x
    x = 8,029,126.87/2,894.08
  6. Step 6: Final answer
    x = 2,774.33

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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.