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Finding the Fourth Proportional to 2,743.72, 4,119.23 and 1,635.19

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Solution

The fourth proportional to 2,743.72, 4,119.23 and 1,635.19 is: 2,454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.72 : 4,119.23 = 1,635.19 : x
  2. Step 2: Convert to fraction form
    2,743.72/4,119.23 = 1,635.19/x
  3. Step 3: Cross multiply
    2,743.72x = 4,119.23 × 1,635.19
  4. Step 4: Simplify right side
    2,743.72x = 6,735,717.49
  5. Step 5: Solve for x
    x = 6,735,717.49/2,743.72
  6. Step 6: Final answer
    x = 2,454.96

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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.