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Finding the Fourth Proportional to 2,741.49, 3,783.74 and 2,650.36

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Solution

The fourth proportional to 2,741.49, 3,783.74 and 2,650.36 is: 3,657.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.49 : 3,783.74 = 2,650.36 : x
  2. Step 2: Convert to fraction form
    2,741.49/3,783.74 = 2,650.36/x
  3. Step 3: Cross multiply
    2,741.49x = 3,783.74 × 2,650.36
  4. Step 4: Simplify right side
    2,741.49x = 10,028,273.15
  5. Step 5: Solve for x
    x = 10,028,273.15/2,741.49
  6. Step 6: Final answer
    x = 3,657.96

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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.