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Finding the Fourth Proportional to 2,738.02, 4,108.38 and 1,276.96

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Solution

The fourth proportional to 2,738.02, 4,108.38 and 1,276.96 is: 1,916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.02 : 4,108.38 = 1,276.96 : x
  2. Step 2: Convert to fraction form
    2,738.02/4,108.38 = 1,276.96/x
  3. Step 3: Cross multiply
    2,738.02x = 4,108.38 × 1,276.96
  4. Step 4: Simplify right side
    2,738.02x = 5,246,236.92
  5. Step 5: Solve for x
    x = 5,246,236.92/2,738.02
  6. Step 6: Final answer
    x = 1,916.07

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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.