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Finding the Fourth Proportional to 2,684.02, 4,020.49 and 1,991.47

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Solution

The fourth proportional to 2,684.02, 4,020.49 and 1,991.47 is: 2,983.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.02 : 4,020.49 = 1,991.47 : x
  2. Step 2: Convert to fraction form
    2,684.02/4,020.49 = 1,991.47/x
  3. Step 3: Cross multiply
    2,684.02x = 4,020.49 × 1,991.47
  4. Step 4: Simplify right side
    2,684.02x = 8,006,685.22
  5. Step 5: Solve for x
    x = 8,006,685.22/2,684.02
  6. Step 6: Final answer
    x = 2,983.09

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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.