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Finding the Fourth Proportional to 2,993.69, 4,482 and 2,378.27

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Solution

The fourth proportional to 2,993.69, 4,482 and 2,378.27 is: 3,560.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.69 : 4,482 = 2,378.27 : x
  2. Step 2: Convert to fraction form
    2,993.69/4,482 = 2,378.27/x
  3. Step 3: Cross multiply
    2,993.69x = 4,482 × 2,378.27
  4. Step 4: Simplify right side
    2,993.69x = 10,659,406.14
  5. Step 5: Solve for x
    x = 10,659,406.14/2,993.69
  6. Step 6: Final answer
    x = 3,560.62

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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.