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Finding the Fourth Proportional to 1,905.87, 2,844.86 and 1,760.54

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Solution

The fourth proportional to 1,905.87, 2,844.86 and 1,760.54 is: 2,627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.87 : 2,844.86 = 1,760.54 : x
  2. Step 2: Convert to fraction form
    1,905.87/2,844.86 = 1,760.54/x
  3. Step 3: Cross multiply
    1,905.87x = 2,844.86 × 1,760.54
  4. Step 4: Simplify right side
    1,905.87x = 5,008,481.02
  5. Step 5: Solve for x
    x = 5,008,481.02/1,905.87
  6. Step 6: Final answer
    x = 2,627.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.