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Finding the Fourth Proportional to 1,993.86, 2,750.88 and 1,109.49

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Solution

The fourth proportional to 1,993.86, 2,750.88 and 1,109.49 is: 1,530.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.86 : 2,750.88 = 1,109.49 : x
  2. Step 2: Convert to fraction form
    1,993.86/2,750.88 = 1,109.49/x
  3. Step 3: Cross multiply
    1,993.86x = 2,750.88 × 1,109.49
  4. Step 4: Simplify right side
    1,993.86x = 3,052,073.85
  5. Step 5: Solve for x
    x = 3,052,073.85/1,993.86
  6. Step 6: Final answer
    x = 1,530.74

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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.