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Finding the Fourth Proportional to 1,989.69, 2,745.86 and 1,105.47

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Solution

The fourth proportional to 1,989.69, 2,745.86 and 1,105.47 is: 1,525.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.69 : 2,745.86 = 1,105.47 : x
  2. Step 2: Convert to fraction form
    1,989.69/2,745.86 = 1,105.47/x
  3. Step 3: Cross multiply
    1,989.69x = 2,745.86 × 1,105.47
  4. Step 4: Simplify right side
    1,989.69x = 3,035,465.85
  5. Step 5: Solve for x
    x = 3,035,465.85/1,989.69
  6. Step 6: Final answer
    x = 1,525.60

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