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Finding the Fourth Proportional to 2,054.74, 3,081.32 and 1,616.85

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Solution

The fourth proportional to 2,054.74, 3,081.32 and 1,616.85 is: 2,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.74 : 3,081.32 = 1,616.85 : x
  2. Step 2: Convert to fraction form
    2,054.74/3,081.32 = 1,616.85/x
  3. Step 3: Cross multiply
    2,054.74x = 3,081.32 × 1,616.85
  4. Step 4: Simplify right side
    2,054.74x = 4,982,047.84
  5. Step 5: Solve for x
    x = 4,982,047.84/2,054.74
  6. Step 6: Final answer
    x = 2,424.66

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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.