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Finding the Fourth Proportional to 1,998.43, 2,758.26 and 1,289.77

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Solution

The fourth proportional to 1,998.43, 2,758.26 and 1,289.77 is: 1,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.43 : 2,758.26 = 1,289.77 : x
  2. Step 2: Convert to fraction form
    1,998.43/2,758.26 = 1,289.77/x
  3. Step 3: Cross multiply
    1,998.43x = 2,758.26 × 1,289.77
  4. Step 4: Simplify right side
    1,998.43x = 3,557,521.00
  5. Step 5: Solve for x
    x = 3,557,521.00/1,998.43
  6. Step 6: Final answer
    x = 1,780.16

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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.