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Finding the Fourth Proportional to 2,745.75, 4,120.47 and 1,014.39

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Solution

The fourth proportional to 2,745.75, 4,120.47 and 1,014.39 is: 1,522.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.75 : 4,120.47 = 1,014.39 : x
  2. Step 2: Convert to fraction form
    2,745.75/4,120.47 = 1,014.39/x
  3. Step 3: Cross multiply
    2,745.75x = 4,120.47 × 1,014.39
  4. Step 4: Simplify right side
    2,745.75x = 4,179,763.56
  5. Step 5: Solve for x
    x = 4,179,763.56/2,745.75
  6. Step 6: Final answer
    x = 1,522.27

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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.