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Finding the Fourth Proportional to 1,999.19, 2,758.73 and 1,202.65

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Solution

The fourth proportional to 1,999.19, 2,758.73 and 1,202.65 is: 1,659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.19 : 2,758.73 = 1,202.65 : x
  2. Step 2: Convert to fraction form
    1,999.19/2,758.73 = 1,202.65/x
  3. Step 3: Cross multiply
    1,999.19x = 2,758.73 × 1,202.65
  4. Step 4: Simplify right side
    1,999.19x = 3,317,773.72
  5. Step 5: Solve for x
    x = 3,317,773.72/1,999.19
  6. Step 6: Final answer
    x = 1,659.56

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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.