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Finding the Fourth Proportional to 3,028.22, 4,542.08 and 836.98

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Solution

The fourth proportional to 3,028.22, 4,542.08 and 836.98 is: 1,255.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.22 : 4,542.08 = 836.98 : x
  2. Step 2: Convert to fraction form
    3,028.22/4,542.08 = 836.98/x
  3. Step 3: Cross multiply
    3,028.22x = 4,542.08 × 836.98
  4. Step 4: Simplify right side
    3,028.22x = 3,801,630.12
  5. Step 5: Solve for x
    x = 3,801,630.12/3,028.22
  6. Step 6: Final answer
    x = 1,255.40

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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.