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Finding the Fourth Proportional to 2,069.55, 3,105.61 and 836.97

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Solution

The fourth proportional to 2,069.55, 3,105.61 and 836.97 is: 1,255.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.55 : 3,105.61 = 836.97 : x
  2. Step 2: Convert to fraction form
    2,069.55/3,105.61 = 836.97/x
  3. Step 3: Cross multiply
    2,069.55x = 3,105.61 × 836.97
  4. Step 4: Simplify right side
    2,069.55x = 2,599,303.53
  5. Step 5: Solve for x
    x = 2,599,303.53/2,069.55
  6. Step 6: Final answer
    x = 1,255.98

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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.