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Finding the Fourth Proportional to 2,055.45, 3,081.81 and 738.54

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Solution

The fourth proportional to 2,055.45, 3,081.81 and 738.54 is: 1,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.45 : 3,081.81 = 738.54 : x
  2. Step 2: Convert to fraction form
    2,055.45/3,081.81 = 738.54/x
  3. Step 3: Cross multiply
    2,055.45x = 3,081.81 × 738.54
  4. Step 4: Simplify right side
    2,055.45x = 2,276,042.73
  5. Step 5: Solve for x
    x = 2,276,042.73/2,055.45
  6. Step 6: Final answer
    x = 1,107.32

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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.