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Finding the Fourth Proportional to 2,469.89, 3,408.45 and 1,350.84

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Solution

The fourth proportional to 2,469.89, 3,408.45 and 1,350.84 is: 1,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.89 : 3,408.45 = 1,350.84 : x
  2. Step 2: Convert to fraction form
    2,469.89/3,408.45 = 1,350.84/x
  3. Step 3: Cross multiply
    2,469.89x = 3,408.45 × 1,350.84
  4. Step 4: Simplify right side
    2,469.89x = 4,604,278.31
  5. Step 5: Solve for x
    x = 4,604,278.31/2,469.89
  6. Step 6: Final answer
    x = 1,864.16

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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.