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Finding the Fourth Proportional to 2,993.62, 4,484.48 and 2,378.38

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Solution

The fourth proportional to 2,993.62, 4,484.48 and 2,378.38 is: 3,562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.62 : 4,484.48 = 2,378.38 : x
  2. Step 2: Convert to fraction form
    2,993.62/4,484.48 = 2,378.38/x
  3. Step 3: Cross multiply
    2,993.62x = 4,484.48 × 2,378.38
  4. Step 4: Simplify right side
    2,993.62x = 10,665,797.54
  5. Step 5: Solve for x
    x = 10,665,797.54/2,993.62
  6. Step 6: Final answer
    x = 3,562.84

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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.