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Finding the Fourth Proportional to 2,738.70, 4,105.35 and 1,350.90

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Solution

The fourth proportional to 2,738.70, 4,105.35 and 1,350.90 is: 2,025.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.70 : 4,105.35 = 1,350.90 : x
  2. Step 2: Convert to fraction form
    2,738.70/4,105.35 = 1,350.90/x
  3. Step 3: Cross multiply
    2,738.70x = 4,105.35 × 1,350.90
  4. Step 4: Simplify right side
    2,738.70x = 5,545,917.32
  5. Step 5: Solve for x
    x = 5,545,917.32/2,738.70
  6. Step 6: Final answer
    x = 2,025.02

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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.