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Finding the Fourth Proportional to 2,859.73, 3,945.18 and 2,020.30

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Solution

The fourth proportional to 2,859.73, 3,945.18 and 2,020.30 is: 2,787.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.73 : 3,945.18 = 2,020.30 : x
  2. Step 2: Convert to fraction form
    2,859.73/3,945.18 = 2,020.30/x
  3. Step 3: Cross multiply
    2,859.73x = 3,945.18 × 2,020.30
  4. Step 4: Simplify right side
    2,859.73x = 7,970,447.15
  5. Step 5: Solve for x
    x = 7,970,447.15/2,859.73
  6. Step 6: Final answer
    x = 2,787.13

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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.