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Finding the Fourth Proportional to 2,616.93, 3,923.73 and 1,229.67

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Solution

The fourth proportional to 2,616.93, 3,923.73 and 1,229.67 is: 1,843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.93 : 3,923.73 = 1,229.67 : x
  2. Step 2: Convert to fraction form
    2,616.93/3,923.73 = 1,229.67/x
  3. Step 3: Cross multiply
    2,616.93x = 3,923.73 × 1,229.67
  4. Step 4: Simplify right side
    2,616.93x = 4,824,893.07
  5. Step 5: Solve for x
    x = 4,824,893.07/2,616.93
  6. Step 6: Final answer
    x = 1,843.72

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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.