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Finding the Fourth Proportional to 2,069.77, 3,105.33 and 836.55

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Solution

The fourth proportional to 2,069.77, 3,105.33 and 836.55 is: 1,255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.77 : 3,105.33 = 836.55 : x
  2. Step 2: Convert to fraction form
    2,069.77/3,105.33 = 836.55/x
  3. Step 3: Cross multiply
    2,069.77x = 3,105.33 × 836.55
  4. Step 4: Simplify right side
    2,069.77x = 2,597,763.81
  5. Step 5: Solve for x
    x = 2,597,763.81/2,069.77
  6. Step 6: Final answer
    x = 1,255.10

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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.