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Finding the Fourth Proportional to 2,278.09, 3,415.73 and 2,084.73

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Solution

The fourth proportional to 2,278.09, 3,415.73 and 2,084.73 is: 3,125.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.09 : 3,415.73 = 2,084.73 : x
  2. Step 2: Convert to fraction form
    2,278.09/3,415.73 = 2,084.73/x
  3. Step 3: Cross multiply
    2,278.09x = 3,415.73 × 2,084.73
  4. Step 4: Simplify right side
    2,278.09x = 7,120,874.80
  5. Step 5: Solve for x
    x = 7,120,874.80/2,278.09
  6. Step 6: Final answer
    x = 3,125.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.