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Finding the Fourth Proportional to 2,059.81, 3,086.83 and 961.45

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Solution

The fourth proportional to 2,059.81, 3,086.83 and 961.45 is: 1,440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.81 : 3,086.83 = 961.45 : x
  2. Step 2: Convert to fraction form
    2,059.81/3,086.83 = 961.45/x
  3. Step 3: Cross multiply
    2,059.81x = 3,086.83 × 961.45
  4. Step 4: Simplify right side
    2,059.81x = 2,967,832.70
  5. Step 5: Solve for x
    x = 2,967,832.70/2,059.81
  6. Step 6: Final answer
    x = 1,440.83

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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.