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Finding the Fourth Proportional to 2,054.57, 3,078.61 and 1,231.81

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Solution

The fourth proportional to 2,054.57, 3,078.61 and 1,231.81 is: 1,845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.57 : 3,078.61 = 1,231.81 : x
  2. Step 2: Convert to fraction form
    2,054.57/3,078.61 = 1,231.81/x
  3. Step 3: Cross multiply
    2,054.57x = 3,078.61 × 1,231.81
  4. Step 4: Simplify right side
    2,054.57x = 3,792,251.81
  5. Step 5: Solve for x
    x = 3,792,251.81/2,054.57
  6. Step 6: Final answer
    x = 1,845.77

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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.