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Finding the Fourth Proportional to 2,801.94, 4,195.26 and 2,149.62

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Solution

The fourth proportional to 2,801.94, 4,195.26 and 2,149.62 is: 3,218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.94 : 4,195.26 = 2,149.62 : x
  2. Step 2: Convert to fraction form
    2,801.94/4,195.26 = 2,149.62/x
  3. Step 3: Cross multiply
    2,801.94x = 4,195.26 × 2,149.62
  4. Step 4: Simplify right side
    2,801.94x = 9,018,214.80
  5. Step 5: Solve for x
    x = 9,018,214.80/2,801.94
  6. Step 6: Final answer
    x = 3,218.56

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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.