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Finding the Fourth Proportional to 2,408.89, 3,323.76 and 1,465.18

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Solution

The fourth proportional to 2,408.89, 3,323.76 and 1,465.18 is: 2,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.89 : 3,323.76 = 1,465.18 : x
  2. Step 2: Convert to fraction form
    2,408.89/3,323.76 = 1,465.18/x
  3. Step 3: Cross multiply
    2,408.89x = 3,323.76 × 1,465.18
  4. Step 4: Simplify right side
    2,408.89x = 4,869,906.68
  5. Step 5: Solve for x
    x = 4,869,906.68/2,408.89
  6. Step 6: Final answer
    x = 2,021.64

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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.