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Finding the Fourth Proportional to 2,084.94, 3,115.19 and 2,012.29

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Solution

The fourth proportional to 2,084.94, 3,115.19 and 2,012.29 is: 3,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.94 : 3,115.19 = 2,012.29 : x
  2. Step 2: Convert to fraction form
    2,084.94/3,115.19 = 2,012.29/x
  3. Step 3: Cross multiply
    2,084.94x = 3,115.19 × 2,012.29
  4. Step 4: Simplify right side
    2,084.94x = 6,268,662.93
  5. Step 5: Solve for x
    x = 6,268,662.93/2,084.94
  6. Step 6: Final answer
    x = 3,006.64

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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.