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Finding the Fourth Proportional to 1,993.21, 2,750.73 and 1,109.06

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Solution

The fourth proportional to 1,993.21, 2,750.73 and 1,109.06 is: 1,530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.21 : 2,750.73 = 1,109.06 : x
  2. Step 2: Convert to fraction form
    1,993.21/2,750.73 = 1,109.06/x
  3. Step 3: Cross multiply
    1,993.21x = 2,750.73 × 1,109.06
  4. Step 4: Simplify right side
    1,993.21x = 3,050,717.02
  5. Step 5: Solve for x
    x = 3,050,717.02/1,993.21
  6. Step 6: Final answer
    x = 1,530.56

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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.