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Finding the Fourth Proportional to 2,408.94, 3,325.98 and 1,822.68

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Solution

The fourth proportional to 2,408.94, 3,325.98 and 1,822.68 is: 2,516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.94 : 3,325.98 = 1,822.68 : x
  2. Step 2: Convert to fraction form
    2,408.94/3,325.98 = 1,822.68/x
  3. Step 3: Cross multiply
    2,408.94x = 3,325.98 × 1,822.68
  4. Step 4: Simplify right side
    2,408.94x = 6,062,197.23
  5. Step 5: Solve for x
    x = 6,062,197.23/2,408.94
  6. Step 6: Final answer
    x = 2,516.54

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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.