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Finding the Fourth Proportional to 2,408.43, 3,606.96 and 2,053.05

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Solution

The fourth proportional to 2,408.43, 3,606.96 and 2,053.05 is: 3,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.43 : 3,606.96 = 2,053.05 : x
  2. Step 2: Convert to fraction form
    2,408.43/3,606.96 = 2,053.05/x
  3. Step 3: Cross multiply
    2,408.43x = 3,606.96 × 2,053.05
  4. Step 4: Simplify right side
    2,408.43x = 7,405,246.08
  5. Step 5: Solve for x
    x = 7,405,246.08/2,408.43
  6. Step 6: Final answer
    x = 3,074.71

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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.