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Finding the Fourth Proportional to 2,738.86, 4,105.51 and 1,179.88

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Solution

The fourth proportional to 2,738.86, 4,105.51 and 1,179.88 is: 1,768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.86 : 4,105.51 = 1,179.88 : x
  2. Step 2: Convert to fraction form
    2,738.86/4,105.51 = 1,179.88/x
  3. Step 3: Cross multiply
    2,738.86x = 4,105.51 × 1,179.88
  4. Step 4: Simplify right side
    2,738.86x = 4,844,009.14
  5. Step 5: Solve for x
    x = 4,844,009.14/2,738.86
  6. Step 6: Final answer
    x = 1,768.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.