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Finding the Fourth Proportional to 2,682.44, 4,024.53 and 1,295.93

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Solution

The fourth proportional to 2,682.44, 4,024.53 and 1,295.93 is: 1,944.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.44 : 4,024.53 = 1,295.93 : x
  2. Step 2: Convert to fraction form
    2,682.44/4,024.53 = 1,295.93/x
  3. Step 3: Cross multiply
    2,682.44x = 4,024.53 × 1,295.93
  4. Step 4: Simplify right side
    2,682.44x = 5,215,489.04
  5. Step 5: Solve for x
    x = 5,215,489.04/2,682.44
  6. Step 6: Final answer
    x = 1,944.31

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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.