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Finding the Fourth Proportional to 2,684.47, 4,022.01 and 1,863.27

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Solution

The fourth proportional to 2,684.47, 4,022.01 and 1,863.27 is: 2,791.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.47 : 4,022.01 = 1,863.27 : x
  2. Step 2: Convert to fraction form
    2,684.47/4,022.01 = 1,863.27/x
  3. Step 3: Cross multiply
    2,684.47x = 4,022.01 × 1,863.27
  4. Step 4: Simplify right side
    2,684.47x = 7,494,090.57
  5. Step 5: Solve for x
    x = 7,494,090.57/2,684.47
  6. Step 6: Final answer
    x = 2,791.65

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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.