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Finding the Fourth Proportional to 2,408.33, 3,607.32 and 2,145.44

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Solution

The fourth proportional to 2,408.33, 3,607.32 and 2,145.44 is: 3,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.33 : 3,607.32 = 2,145.44 : x
  2. Step 2: Convert to fraction form
    2,408.33/3,607.32 = 2,145.44/x
  3. Step 3: Cross multiply
    2,408.33x = 3,607.32 × 2,145.44
  4. Step 4: Simplify right side
    2,408.33x = 7,739,288.62
  5. Step 5: Solve for x
    x = 7,739,288.62/2,408.33
  6. Step 6: Final answer
    x = 3,213.55

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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.