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Finding the Fourth Proportional to 2,912.65, 4,369.87 and 1,743.96

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Solution

The fourth proportional to 2,912.65, 4,369.87 and 1,743.96 is: 2,616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.65 : 4,369.87 = 1,743.96 : x
  2. Step 2: Convert to fraction form
    2,912.65/4,369.87 = 1,743.96/x
  3. Step 3: Cross multiply
    2,912.65x = 4,369.87 × 1,743.96
  4. Step 4: Simplify right side
    2,912.65x = 7,620,897.05
  5. Step 5: Solve for x
    x = 7,620,897.05/2,912.65
  6. Step 6: Final answer
    x = 2,616.48

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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.