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Finding the Fourth Proportional to 2,683.92, 4,022.54 and 1,861.98

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Solution

The fourth proportional to 2,683.92, 4,022.54 and 1,861.98 is: 2,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.92 : 4,022.54 = 1,861.98 : x
  2. Step 2: Convert to fraction form
    2,683.92/4,022.54 = 1,861.98/x
  3. Step 3: Cross multiply
    2,683.92x = 4,022.54 × 1,861.98
  4. Step 4: Simplify right side
    2,683.92x = 7,489,889.03
  5. Step 5: Solve for x
    x = 7,489,889.03/2,683.92
  6. Step 6: Final answer
    x = 2,790.65

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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.