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Finding the Fourth Proportional to 2,745.25, 3,788.45 and 1,503.25

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Solution

The fourth proportional to 2,745.25, 3,788.45 and 1,503.25 is: 2,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.25 : 3,788.45 = 1,503.25 : x
  2. Step 2: Convert to fraction form
    2,745.25/3,788.45 = 1,503.25/x
  3. Step 3: Cross multiply
    2,745.25x = 3,788.45 × 1,503.25
  4. Step 4: Simplify right side
    2,745.25x = 5,694,979.95
  5. Step 5: Solve for x
    x = 5,694,979.95/2,745.25
  6. Step 6: Final answer
    x = 2,074.49

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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.