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Finding the Fourth Proportional to 2,408.62, 3,322.91 and 1,909.25

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Solution

The fourth proportional to 2,408.62, 3,322.91 and 1,909.25 is: 2,633.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.62 : 3,322.91 = 1,909.25 : x
  2. Step 2: Convert to fraction form
    2,408.62/3,322.91 = 1,909.25/x
  3. Step 3: Cross multiply
    2,408.62x = 3,322.91 × 1,909.25
  4. Step 4: Simplify right side
    2,408.62x = 6,344,256.37
  5. Step 5: Solve for x
    x = 6,344,256.37/2,408.62
  6. Step 6: Final answer
    x = 2,633.99

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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.