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Finding the Fourth Proportional to 3,419.64, 4,718.43 and 2,022.48

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Solution

The fourth proportional to 3,419.64, 4,718.43 and 2,022.48 is: 2,790.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.64 : 4,718.43 = 2,022.48 : x
  2. Step 2: Convert to fraction form
    3,419.64/4,718.43 = 2,022.48/x
  3. Step 3: Cross multiply
    3,419.64x = 4,718.43 × 2,022.48
  4. Step 4: Simplify right side
    3,419.64x = 9,542,930.31
  5. Step 5: Solve for x
    x = 9,542,930.31/3,419.64
  6. Step 6: Final answer
    x = 2,790.62

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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.