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Finding the Fourth Proportional to 2,109.35, 3,165.11 and 1,491.73

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Solution

The fourth proportional to 2,109.35, 3,165.11 and 1,491.73 is: 2,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.35 : 3,165.11 = 1,491.73 : x
  2. Step 2: Convert to fraction form
    2,109.35/3,165.11 = 1,491.73/x
  3. Step 3: Cross multiply
    2,109.35x = 3,165.11 × 1,491.73
  4. Step 4: Simplify right side
    2,109.35x = 4,721,489.54
  5. Step 5: Solve for x
    x = 4,721,489.54/2,109.35
  6. Step 6: Final answer
    x = 2,238.36

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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.