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Finding the Fourth Proportional to 3,028.12, 4,542.18 and 836.86

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Solution

The fourth proportional to 3,028.12, 4,542.18 and 836.86 is: 1,255.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.12 : 4,542.18 = 836.86 : x
  2. Step 2: Convert to fraction form
    3,028.12/4,542.18 = 836.86/x
  3. Step 3: Cross multiply
    3,028.12x = 4,542.18 × 836.86
  4. Step 4: Simplify right side
    3,028.12x = 3,801,168.75
  5. Step 5: Solve for x
    x = 3,801,168.75/3,028.12
  6. Step 6: Final answer
    x = 1,255.29

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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.