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Finding the Fourth Proportional to 2,849.00, 4,274.01 and 1,289.73

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Solution

The fourth proportional to 2,849.00, 4,274.01 and 1,289.73 is: 1,934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.00 : 4,274.01 = 1,289.73 : x
  2. Step 2: Convert to fraction form
    2,849.00/4,274.01 = 1,289.73/x
  3. Step 3: Cross multiply
    2,849.00x = 4,274.01 × 1,289.73
  4. Step 4: Simplify right side
    2,849.00x = 5,512,334.94
  5. Step 5: Solve for x
    x = 5,512,334.94/2,849.00
  6. Step 6: Final answer
    x = 1,934.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.