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Finding the Fourth Proportional to 1,968.44, 2,715 and 1,719.23

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Solution

The fourth proportional to 1,968.44, 2,715 and 1,719.23 is: 2,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.44 : 2,715 = 1,719.23 : x
  2. Step 2: Convert to fraction form
    1,968.44/2,715 = 1,719.23/x
  3. Step 3: Cross multiply
    1,968.44x = 2,715 × 1,719.23
  4. Step 4: Simplify right side
    1,968.44x = 4,667,709.45
  5. Step 5: Solve for x
    x = 4,667,709.45/1,968.44
  6. Step 6: Final answer
    x = 2,371.27

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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.