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Finding the Fourth Proportional to 2,945.67, 4,065.05 and 1,619.41

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Solution

The fourth proportional to 2,945.67, 4,065.05 and 1,619.41 is: 2,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.67 : 4,065.05 = 1,619.41 : x
  2. Step 2: Convert to fraction form
    2,945.67/4,065.05 = 1,619.41/x
  3. Step 3: Cross multiply
    2,945.67x = 4,065.05 × 1,619.41
  4. Step 4: Simplify right side
    2,945.67x = 6,582,982.62
  5. Step 5: Solve for x
    x = 6,582,982.62/2,945.67
  6. Step 6: Final answer
    x = 2,234.80

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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.