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Finding the Fourth Proportional to 3,028.04, 4,542.06 and 836.77

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Solution

The fourth proportional to 3,028.04, 4,542.06 and 836.77 is: 1,255.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.04 : 4,542.06 = 836.77 : x
  2. Step 2: Convert to fraction form
    3,028.04/4,542.06 = 836.77/x
  3. Step 3: Cross multiply
    3,028.04x = 4,542.06 × 836.77
  4. Step 4: Simplify right side
    3,028.04x = 3,800,659.55
  5. Step 5: Solve for x
    x = 3,800,659.55/3,028.04
  6. Step 6: Final answer
    x = 1,255.16

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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.