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Finding the Fourth Proportional to 1,949.03, 2,689.72 and 1,163.54

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Solution

The fourth proportional to 1,949.03, 2,689.72 and 1,163.54 is: 1,605.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.03 : 2,689.72 = 1,163.54 : x
  2. Step 2: Convert to fraction form
    1,949.03/2,689.72 = 1,163.54/x
  3. Step 3: Cross multiply
    1,949.03x = 2,689.72 × 1,163.54
  4. Step 4: Simplify right side
    1,949.03x = 3,129,580.45
  5. Step 5: Solve for x
    x = 3,129,580.45/1,949.03
  6. Step 6: Final answer
    x = 1,605.71

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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.