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Finding the Fourth Proportional to 2,056.72, 3,079.92 and 1,949.68

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Solution

The fourth proportional to 2,056.72, 3,079.92 and 1,949.68 is: 2,919.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.72 : 3,079.92 = 1,949.68 : x
  2. Step 2: Convert to fraction form
    2,056.72/3,079.92 = 1,949.68/x
  3. Step 3: Cross multiply
    2,056.72x = 3,079.92 × 1,949.68
  4. Step 4: Simplify right side
    2,056.72x = 6,004,858.43
  5. Step 5: Solve for x
    x = 6,004,858.43/2,056.72
  6. Step 6: Final answer
    x = 2,919.63

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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.