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Finding the Fourth Proportional to 2,741.73, 3,783.39 and 1,857.81

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Solution

The fourth proportional to 2,741.73, 3,783.39 and 1,857.81 is: 2,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.73 : 3,783.39 = 1,857.81 : x
  2. Step 2: Convert to fraction form
    2,741.73/3,783.39 = 1,857.81/x
  3. Step 3: Cross multiply
    2,741.73x = 3,783.39 × 1,857.81
  4. Step 4: Simplify right side
    2,741.73x = 7,028,819.78
  5. Step 5: Solve for x
    x = 7,028,819.78/2,741.73
  6. Step 6: Final answer
    x = 2,563.64

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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.