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Finding the Fourth Proportional to 2,205.43, 3,042.16 and 1,419.19

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Solution

The fourth proportional to 2,205.43, 3,042.16 and 1,419.19 is: 1,957.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.43 : 3,042.16 = 1,419.19 : x
  2. Step 2: Convert to fraction form
    2,205.43/3,042.16 = 1,419.19/x
  3. Step 3: Cross multiply
    2,205.43x = 3,042.16 × 1,419.19
  4. Step 4: Simplify right side
    2,205.43x = 4,317,403.05
  5. Step 5: Solve for x
    x = 4,317,403.05/2,205.43
  6. Step 6: Final answer
    x = 1,957.62

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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.