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Finding the Fourth Proportional to 2,976.69, 4,109.46 and 1,968.45

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Solution

The fourth proportional to 2,976.69, 4,109.46 and 1,968.45 is: 2,717.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.69 : 4,109.46 = 1,968.45 : x
  2. Step 2: Convert to fraction form
    2,976.69/4,109.46 = 1,968.45/x
  3. Step 3: Cross multiply
    2,976.69x = 4,109.46 × 1,968.45
  4. Step 4: Simplify right side
    2,976.69x = 8,089,245.99
  5. Step 5: Solve for x
    x = 8,089,245.99/2,976.69
  6. Step 6: Final answer
    x = 2,717.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.