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Finding the Fourth Proportional to 2,841.30, 3,919.59 and 2,447.64

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Solution

The fourth proportional to 2,841.30, 3,919.59 and 2,447.64 is: 3,376.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.30 : 3,919.59 = 2,447.64 : x
  2. Step 2: Convert to fraction form
    2,841.30/3,919.59 = 2,447.64/x
  3. Step 3: Cross multiply
    2,841.30x = 3,919.59 × 2,447.64
  4. Step 4: Simplify right side
    2,841.30x = 9,593,745.27
  5. Step 5: Solve for x
    x = 9,593,745.27/2,841.30
  6. Step 6: Final answer
    x = 3,376.53

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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.