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Finding the Fourth Proportional to 2,097.26, 3,139.41 and 1,786.22

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Solution

The fourth proportional to 2,097.26, 3,139.41 and 1,786.22 is: 2,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.26 : 3,139.41 = 1,786.22 : x
  2. Step 2: Convert to fraction form
    2,097.26/3,139.41 = 1,786.22/x
  3. Step 3: Cross multiply
    2,097.26x = 3,139.41 × 1,786.22
  4. Step 4: Simplify right side
    2,097.26x = 5,607,676.93
  5. Step 5: Solve for x
    x = 5,607,676.93/2,097.26
  6. Step 6: Final answer
    x = 2,673.81

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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.