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Finding the Fourth Proportional to 2,049.88, 3,074.72 and 751.26

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Solution

The fourth proportional to 2,049.88, 3,074.72 and 751.26 is: 1,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.88 : 3,074.72 = 751.26 : x
  2. Step 2: Convert to fraction form
    2,049.88/3,074.72 = 751.26/x
  3. Step 3: Cross multiply
    2,049.88x = 3,074.72 × 751.26
  4. Step 4: Simplify right side
    2,049.88x = 2,309,914.15
  5. Step 5: Solve for x
    x = 2,309,914.15/2,049.88
  6. Step 6: Final answer
    x = 1,126.85

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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.