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Finding the Fourth Proportional to 1,989.74, 2,745.93 and 1,105.63

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Solution

The fourth proportional to 1,989.74, 2,745.93 and 1,105.63 is: 1,525.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.74 : 2,745.93 = 1,105.63 : x
  2. Step 2: Convert to fraction form
    1,989.74/2,745.93 = 1,105.63/x
  3. Step 3: Cross multiply
    1,989.74x = 2,745.93 × 1,105.63
  4. Step 4: Simplify right side
    1,989.74x = 3,035,982.59
  5. Step 5: Solve for x
    x = 3,035,982.59/1,989.74
  6. Step 6: Final answer
    x = 1,525.82

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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.