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Finding the Fourth Proportional to 2,745.45, 4,118.21 and 896.55

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Solution

The fourth proportional to 2,745.45, 4,118.21 and 896.55 is: 1,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.45 : 4,118.21 = 896.55 : x
  2. Step 2: Convert to fraction form
    2,745.45/4,118.21 = 896.55/x
  3. Step 3: Cross multiply
    2,745.45x = 4,118.21 × 896.55
  4. Step 4: Simplify right side
    2,745.45x = 3,692,181.18
  5. Step 5: Solve for x
    x = 3,692,181.18/2,745.45
  6. Step 6: Final answer
    x = 1,344.84

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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.