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Finding the Fourth Proportional to 2,109.25, 3,163.92 and 722.58

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Solution

The fourth proportional to 2,109.25, 3,163.92 and 722.58 is: 1,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.25 : 3,163.92 = 722.58 : x
  2. Step 2: Convert to fraction form
    2,109.25/3,163.92 = 722.58/x
  3. Step 3: Cross multiply
    2,109.25x = 3,163.92 × 722.58
  4. Step 4: Simplify right side
    2,109.25x = 2,286,185.31
  5. Step 5: Solve for x
    x = 2,286,185.31/2,109.25
  6. Step 6: Final answer
    x = 1,083.89

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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.