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Finding the Fourth Proportional to 1,998.82, 2,758.33 and 1,159.56

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Solution

The fourth proportional to 1,998.82, 2,758.33 and 1,159.56 is: 1,600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.82 : 2,758.33 = 1,159.56 : x
  2. Step 2: Convert to fraction form
    1,998.82/2,758.33 = 1,159.56/x
  3. Step 3: Cross multiply
    1,998.82x = 2,758.33 × 1,159.56
  4. Step 4: Simplify right side
    1,998.82x = 3,198,446.24
  5. Step 5: Solve for x
    x = 3,198,446.24/1,998.82
  6. Step 6: Final answer
    x = 1,600.17

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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.