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Finding the Fourth Proportional to 2,057.37, 3,086.06 and 1,748.76

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Solution

The fourth proportional to 2,057.37, 3,086.06 and 1,748.76 is: 2,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.37 : 3,086.06 = 1,748.76 : x
  2. Step 2: Convert to fraction form
    2,057.37/3,086.06 = 1,748.76/x
  3. Step 3: Cross multiply
    2,057.37x = 3,086.06 × 1,748.76
  4. Step 4: Simplify right side
    2,057.37x = 5,396,769.54
  5. Step 5: Solve for x
    x = 5,396,769.54/2,057.37
  6. Step 6: Final answer
    x = 2,623.14

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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.