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Finding the Fourth Proportional to 2,745.20, 3,788.36 and 1,503.20

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Solution

The fourth proportional to 2,745.20, 3,788.36 and 1,503.20 is: 2,074.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.20 : 3,788.36 = 1,503.20 : x
  2. Step 2: Convert to fraction form
    2,745.20/3,788.36 = 1,503.20/x
  3. Step 3: Cross multiply
    2,745.20x = 3,788.36 × 1,503.20
  4. Step 4: Simplify right side
    2,745.20x = 5,694,662.75
  5. Step 5: Solve for x
    x = 5,694,662.75/2,745.20
  6. Step 6: Final answer
    x = 2,074.41

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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.