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Finding the Fourth Proportional to 2,682.14, 4,023.60 and 950.62

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Solution

The fourth proportional to 2,682.14, 4,023.60 and 950.62 is: 1,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.14 : 4,023.60 = 950.62 : x
  2. Step 2: Convert to fraction form
    2,682.14/4,023.60 = 950.62/x
  3. Step 3: Cross multiply
    2,682.14x = 4,023.60 × 950.62
  4. Step 4: Simplify right side
    2,682.14x = 3,824,914.63
  5. Step 5: Solve for x
    x = 3,824,914.63/2,682.14
  6. Step 6: Final answer
    x = 1,426.07

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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.