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Finding the Fourth Proportional to 2,072.69, 3,105.79 and 1,301.57

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Solution

The fourth proportional to 2,072.69, 3,105.79 and 1,301.57 is: 1,950.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.69 : 3,105.79 = 1,301.57 : x
  2. Step 2: Convert to fraction form
    2,072.69/3,105.79 = 1,301.57/x
  3. Step 3: Cross multiply
    2,072.69x = 3,105.79 × 1,301.57
  4. Step 4: Simplify right side
    2,072.69x = 4,042,381.05
  5. Step 5: Solve for x
    x = 4,042,381.05/2,072.69
  6. Step 6: Final answer
    x = 1,950.31

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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.