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Finding the Fourth Proportional to 2,378.93, 3,273.70 and 2,194.25

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Solution

The fourth proportional to 2,378.93, 3,273.70 and 2,194.25 is: 3,019.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.93 : 3,273.70 = 2,194.25 : x
  2. Step 2: Convert to fraction form
    2,378.93/3,273.70 = 2,194.25/x
  3. Step 3: Cross multiply
    2,378.93x = 3,273.70 × 2,194.25
  4. Step 4: Simplify right side
    2,378.93x = 7,183,305.25
  5. Step 5: Solve for x
    x = 7,183,305.25/2,378.93
  6. Step 6: Final answer
    x = 3,019.55

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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.