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Finding the Fourth Proportional to 2,447.96, 3,378.20 and 1,328.90

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Solution

The fourth proportional to 2,447.96, 3,378.20 and 1,328.90 is: 1,833.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.96 : 3,378.20 = 1,328.90 : x
  2. Step 2: Convert to fraction form
    2,447.96/3,378.20 = 1,328.90/x
  3. Step 3: Cross multiply
    2,447.96x = 3,378.20 × 1,328.90
  4. Step 4: Simplify right side
    2,447.96x = 4,489,266.44
  5. Step 5: Solve for x
    x = 4,489,266.44/2,447.96
  6. Step 6: Final answer
    x = 1,833.88

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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.