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Finding the Fourth Proportional to 3,028.44, 4,542.72 and 837.18

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Solution

The fourth proportional to 3,028.44, 4,542.72 and 837.18 is: 1,255.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.44 : 4,542.72 = 837.18 : x
  2. Step 2: Convert to fraction form
    3,028.44/4,542.72 = 837.18/x
  3. Step 3: Cross multiply
    3,028.44x = 4,542.72 × 837.18
  4. Step 4: Simplify right side
    3,028.44x = 3,803,074.33
  5. Step 5: Solve for x
    x = 3,803,074.33/3,028.44
  6. Step 6: Final answer
    x = 1,255.79

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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.