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Finding the Fourth Proportional to 2,745.93, 4,119.24 and 896.56

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Solution

The fourth proportional to 2,745.93, 4,119.24 and 896.56 is: 1,344.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.93 : 4,119.24 = 896.56 : x
  2. Step 2: Convert to fraction form
    2,745.93/4,119.24 = 896.56/x
  3. Step 3: Cross multiply
    2,745.93x = 4,119.24 × 896.56
  4. Step 4: Simplify right side
    2,745.93x = 3,693,145.81
  5. Step 5: Solve for x
    x = 3,693,145.81/2,745.93
  6. Step 6: Final answer
    x = 1,344.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.