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Finding the Fourth Proportional to 2,906.98, 4,382.37 and 2,719.06

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Solution

The fourth proportional to 2,906.98, 4,382.37 and 2,719.06 is: 4,099.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.98 : 4,382.37 = 2,719.06 : x
  2. Step 2: Convert to fraction form
    2,906.98/4,382.37 = 2,719.06/x
  3. Step 3: Cross multiply
    2,906.98x = 4,382.37 × 2,719.06
  4. Step 4: Simplify right side
    2,906.98x = 11,915,916.02
  5. Step 5: Solve for x
    x = 11,915,916.02/2,906.98
  6. Step 6: Final answer
    x = 4,099.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.