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Finding the Fourth Proportional to 2,736.70, 4,105.46 and 1,005.19

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Solution

The fourth proportional to 2,736.70, 4,105.46 and 1,005.19 is: 1,507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.70 : 4,105.46 = 1,005.19 : x
  2. Step 2: Convert to fraction form
    2,736.70/4,105.46 = 1,005.19/x
  3. Step 3: Cross multiply
    2,736.70x = 4,105.46 × 1,005.19
  4. Step 4: Simplify right side
    2,736.70x = 4,126,759.59
  5. Step 5: Solve for x
    x = 4,126,759.59/2,736.70
  6. Step 6: Final answer
    x = 1,507.93

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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.