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Finding the Fourth Proportional to 2,408.92, 3,325.26 and 1,665.88

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Solution

The fourth proportional to 2,408.92, 3,325.26 and 1,665.88 is: 2,299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.92 : 3,325.26 = 1,665.88 : x
  2. Step 2: Convert to fraction form
    2,408.92/3,325.26 = 1,665.88/x
  3. Step 3: Cross multiply
    2,408.92x = 3,325.26 × 1,665.88
  4. Step 4: Simplify right side
    2,408.92x = 5,539,484.13
  5. Step 5: Solve for x
    x = 5,539,484.13/2,408.92
  6. Step 6: Final answer
    x = 2,299.57

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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.