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Finding the Fourth Proportional to 2,292.67, 3,163.93 and 1,297.99

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Solution

The fourth proportional to 2,292.67, 3,163.93 and 1,297.99 is: 1,791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.67 : 3,163.93 = 1,297.99 : x
  2. Step 2: Convert to fraction form
    2,292.67/3,163.93 = 1,297.99/x
  3. Step 3: Cross multiply
    2,292.67x = 3,163.93 × 1,297.99
  4. Step 4: Simplify right side
    2,292.67x = 4,106,738.35
  5. Step 5: Solve for x
    x = 4,106,738.35/2,292.67
  6. Step 6: Final answer
    x = 1,791.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.