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Finding the Fourth Proportional to 2,682.72, 4,025.19 and 1,448.68

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Solution

The fourth proportional to 2,682.72, 4,025.19 and 1,448.68 is: 2,173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.72 : 4,025.19 = 1,448.68 : x
  2. Step 2: Convert to fraction form
    2,682.72/4,025.19 = 1,448.68/x
  3. Step 3: Cross multiply
    2,682.72x = 4,025.19 × 1,448.68
  4. Step 4: Simplify right side
    2,682.72x = 5,831,212.25
  5. Step 5: Solve for x
    x = 5,831,212.25/2,682.72
  6. Step 6: Final answer
    x = 2,173.62

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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.