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Finding the Fourth Proportional to 3,028.02, 4,542.20 and 836.70

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Solution

The fourth proportional to 3,028.02, 4,542.20 and 836.70 is: 1,255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.02 : 4,542.20 = 836.70 : x
  2. Step 2: Convert to fraction form
    3,028.02/4,542.20 = 836.70/x
  3. Step 3: Cross multiply
    3,028.02x = 4,542.20 × 836.70
  4. Step 4: Simplify right side
    3,028.02x = 3,800,458.74
  5. Step 5: Solve for x
    x = 3,800,458.74/3,028.02
  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.