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Finding the Fourth Proportional to 3,408.69, 5,112.09 and 1,460.44

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Solution

The fourth proportional to 3,408.69, 5,112.09 and 1,460.44 is: 2,190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.69 : 5,112.09 = 1,460.44 : x
  2. Step 2: Convert to fraction form
    3,408.69/5,112.09 = 1,460.44/x
  3. Step 3: Cross multiply
    3,408.69x = 5,112.09 × 1,460.44
  4. Step 4: Simplify right side
    3,408.69x = 7,465,887.94
  5. Step 5: Solve for x
    x = 7,465,887.94/3,408.69
  6. Step 6: Final answer
    x = 2,190.25

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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.