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Finding the Fourth Proportional to 1,989.80, 2,745.95 and 1,105.58

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Solution

The fourth proportional to 1,989.80, 2,745.95 and 1,105.58 is: 1,525.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.80 : 2,745.95 = 1,105.58 : x
  2. Step 2: Convert to fraction form
    1,989.80/2,745.95 = 1,105.58/x
  3. Step 3: Cross multiply
    1,989.80x = 2,745.95 × 1,105.58
  4. Step 4: Simplify right side
    1,989.80x = 3,035,848.14
  5. Step 5: Solve for x
    x = 3,035,848.14/1,989.80
  6. Step 6: Final answer
    x = 1,525.71

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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.