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Finding the Fourth Proportional to 2,847.15, 3,930.16 and 2,447.23

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Solution

The fourth proportional to 2,847.15, 3,930.16 and 2,447.23 is: 3,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.15 : 3,930.16 = 2,447.23 : x
  2. Step 2: Convert to fraction form
    2,847.15/3,930.16 = 2,447.23/x
  3. Step 3: Cross multiply
    2,847.15x = 3,930.16 × 2,447.23
  4. Step 4: Simplify right side
    2,847.15x = 9,617,989.51
  5. Step 5: Solve for x
    x = 9,617,989.51/2,847.15
  6. Step 6: Final answer
    x = 3,378.11

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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.