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Finding the Fourth Proportional to 2,089.00, 2,882.86 and 1,144.78

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Solution

The fourth proportional to 2,089.00, 2,882.86 and 1,144.78 is: 1,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.00 : 2,882.86 = 1,144.78 : x
  2. Step 2: Convert to fraction form
    2,089.00/2,882.86 = 1,144.78/x
  3. Step 3: Cross multiply
    2,089.00x = 2,882.86 × 1,144.78
  4. Step 4: Simplify right side
    2,089.00x = 3,300,230.40
  5. Step 5: Solve for x
    x = 3,300,230.40/2,089.00
  6. Step 6: Final answer
    x = 1,579.81

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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.