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Finding the Fourth Proportional to 2,448.23, 3,378.78 and 1,819.53

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Solution

The fourth proportional to 2,448.23, 3,378.78 and 1,819.53 is: 2,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.23 : 3,378.78 = 1,819.53 : x
  2. Step 2: Convert to fraction form
    2,448.23/3,378.78 = 1,819.53/x
  3. Step 3: Cross multiply
    2,448.23x = 3,378.78 × 1,819.53
  4. Step 4: Simplify right side
    2,448.23x = 6,147,791.57
  5. Step 5: Solve for x
    x = 6,147,791.57/2,448.23
  6. Step 6: Final answer
    x = 2,511.12

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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.