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Finding the Fourth Proportional to 2,864.86, 3,954.36 and 1,979.80

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Solution

The fourth proportional to 2,864.86, 3,954.36 and 1,979.80 is: 2,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.86 : 3,954.36 = 1,979.80 : x
  2. Step 2: Convert to fraction form
    2,864.86/3,954.36 = 1,979.80/x
  3. Step 3: Cross multiply
    2,864.86x = 3,954.36 × 1,979.80
  4. Step 4: Simplify right side
    2,864.86x = 7,828,841.93
  5. Step 5: Solve for x
    x = 7,828,841.93/2,864.86
  6. Step 6: Final answer
    x = 2,732.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.