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Finding the Fourth Proportional to 2,738.86, 3,776.68 and 2,473.23

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Solution

The fourth proportional to 2,738.86, 3,776.68 and 2,473.23 is: 3,410.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.86 : 3,776.68 = 2,473.23 : x
  2. Step 2: Convert to fraction form
    2,738.86/3,776.68 = 2,473.23/x
  3. Step 3: Cross multiply
    2,738.86x = 3,776.68 × 2,473.23
  4. Step 4: Simplify right side
    2,738.86x = 9,340,601.62
  5. Step 5: Solve for x
    x = 9,340,601.62/2,738.86
  6. Step 6: Final answer
    x = 3,410.39

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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.