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Finding the Fourth Proportional to 1,949.11, 2,689.54 and 1,163.00

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Solution

The fourth proportional to 1,949.11, 2,689.54 and 1,163.00 is: 1,604.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.11 : 2,689.54 = 1,163.00 : x
  2. Step 2: Convert to fraction form
    1,949.11/2,689.54 = 1,163.00/x
  3. Step 3: Cross multiply
    1,949.11x = 2,689.54 × 1,163.00
  4. Step 4: Simplify right side
    1,949.11x = 3,127,938.84
  5. Step 5: Solve for x
    x = 3,127,938.84/1,949.11
  6. Step 6: Final answer
    x = 1,604.81

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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.