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Finding the Fourth Proportional to 2,380.52, 3,283.27 and 1,819.60

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Solution

The fourth proportional to 2,380.52, 3,283.27 and 1,819.60 is: 2,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.52 : 3,283.27 = 1,819.60 : x
  2. Step 2: Convert to fraction form
    2,380.52/3,283.27 = 1,819.60/x
  3. Step 3: Cross multiply
    2,380.52x = 3,283.27 × 1,819.60
  4. Step 4: Simplify right side
    2,380.52x = 5,974,225.33
  5. Step 5: Solve for x
    x = 5,974,225.33/2,380.52
  6. Step 6: Final answer
    x = 2,509.63

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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.