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Finding the Fourth Proportional to 1,989.81, 2,745.90 and 1,105.56

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Solution

The fourth proportional to 1,989.81, 2,745.90 and 1,105.56 is: 1,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.81 : 2,745.90 = 1,105.56 : x
  2. Step 2: Convert to fraction form
    1,989.81/2,745.90 = 1,105.56/x
  3. Step 3: Cross multiply
    1,989.81x = 2,745.90 × 1,105.56
  4. Step 4: Simplify right side
    1,989.81x = 3,035,757.20
  5. Step 5: Solve for x
    x = 3,035,757.20/1,989.81
  6. Step 6: Final answer
    x = 1,525.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.