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Finding the Fourth Proportional to 1,993.96, 2,751.57 and 1,097.67

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Solution

The fourth proportional to 1,993.96, 2,751.57 and 1,097.67 is: 1,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.96 : 2,751.57 = 1,097.67 : x
  2. Step 2: Convert to fraction form
    1,993.96/2,751.57 = 1,097.67/x
  3. Step 3: Cross multiply
    1,993.96x = 2,751.57 × 1,097.67
  4. Step 4: Simplify right side
    1,993.96x = 3,020,315.84
  5. Step 5: Solve for x
    x = 3,020,315.84/1,993.96
  6. Step 6: Final answer
    x = 1,514.73

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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.