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Finding the Fourth Proportional to 1,997.79, 2,758.19 and 1,289.99

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Solution

The fourth proportional to 1,997.79, 2,758.19 and 1,289.99 is: 1,780.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.79 : 2,758.19 = 1,289.99 : x
  2. Step 2: Convert to fraction form
    1,997.79/2,758.19 = 1,289.99/x
  3. Step 3: Cross multiply
    1,997.79x = 2,758.19 × 1,289.99
  4. Step 4: Simplify right side
    1,997.79x = 3,558,017.28
  5. Step 5: Solve for x
    x = 3,558,017.28/1,997.79
  6. Step 6: Final answer
    x = 1,780.98

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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.