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Finding the Fourth Proportional to 2,057.85, 3,086.72 and 741.60

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Solution

The fourth proportional to 2,057.85, 3,086.72 and 741.60 is: 1,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.85 : 3,086.72 = 741.60 : x
  2. Step 2: Convert to fraction form
    2,057.85/3,086.72 = 741.60/x
  3. Step 3: Cross multiply
    2,057.85x = 3,086.72 × 741.60
  4. Step 4: Simplify right side
    2,057.85x = 2,289,107.84
  5. Step 5: Solve for x
    x = 2,289,107.84/2,057.85
  6. Step 6: Final answer
    x = 1,112.38

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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.