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Finding the Fourth Proportional to 2,789.66, 4,189.35 and 2,561.78

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Solution

The fourth proportional to 2,789.66, 4,189.35 and 2,561.78 is: 3,847.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.66 : 4,189.35 = 2,561.78 : x
  2. Step 2: Convert to fraction form
    2,789.66/4,189.35 = 2,561.78/x
  3. Step 3: Cross multiply
    2,789.66x = 4,189.35 × 2,561.78
  4. Step 4: Simplify right side
    2,789.66x = 10,732,193.04
  5. Step 5: Solve for x
    x = 10,732,193.04/2,789.66
  6. Step 6: Final answer
    x = 3,847.13

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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.