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Finding the Fourth Proportional to 2,967.64, 4,095.97 and 2,469.79

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Solution

The fourth proportional to 2,967.64, 4,095.97 and 2,469.79 is: 3,408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.64 : 4,095.97 = 2,469.79 : x
  2. Step 2: Convert to fraction form
    2,967.64/4,095.97 = 2,469.79/x
  3. Step 3: Cross multiply
    2,967.64x = 4,095.97 × 2,469.79
  4. Step 4: Simplify right side
    2,967.64x = 10,116,185.75
  5. Step 5: Solve for x
    x = 10,116,185.75/2,967.64
  6. Step 6: Final answer
    x = 3,408.83

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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.