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Finding the Fourth Proportional to 2,081.06, 2,866.05 and 1,728.53

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Solution

The fourth proportional to 2,081.06, 2,866.05 and 1,728.53 is: 2,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.06 : 2,866.05 = 1,728.53 : x
  2. Step 2: Convert to fraction form
    2,081.06/2,866.05 = 1,728.53/x
  3. Step 3: Cross multiply
    2,081.06x = 2,866.05 × 1,728.53
  4. Step 4: Simplify right side
    2,081.06x = 4,954,053.41
  5. Step 5: Solve for x
    x = 4,954,053.41/2,081.06
  6. Step 6: Final answer
    x = 2,380.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.