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Finding the Fourth Proportional to 2,763.25, 4,148.85 and 2,629.41

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Solution

The fourth proportional to 2,763.25, 4,148.85 and 2,629.41 is: 3,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.25 : 4,148.85 = 2,629.41 : x
  2. Step 2: Convert to fraction form
    2,763.25/4,148.85 = 2,629.41/x
  3. Step 3: Cross multiply
    2,763.25x = 4,148.85 × 2,629.41
  4. Step 4: Simplify right side
    2,763.25x = 10,909,021.98
  5. Step 5: Solve for x
    x = 10,909,021.98/2,763.25
  6. Step 6: Final answer
    x = 3,947.90

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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.