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Finding the Fourth Proportional to 2,745.19, 4,118.11 and 896.47

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Solution

The fourth proportional to 2,745.19, 4,118.11 and 896.47 is: 1,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.19 : 4,118.11 = 896.47 : x
  2. Step 2: Convert to fraction form
    2,745.19/4,118.11 = 896.47/x
  3. Step 3: Cross multiply
    2,745.19x = 4,118.11 × 896.47
  4. Step 4: Simplify right side
    2,745.19x = 3,691,749.54
  5. Step 5: Solve for x
    x = 3,691,749.54/2,745.19
  6. Step 6: Final answer
    x = 1,344.81

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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.