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Finding the Fourth Proportional to 2,049.54, 3,074.76 and 750.98

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Solution

The fourth proportional to 2,049.54, 3,074.76 and 750.98 is: 1,126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.54 : 3,074.76 = 750.98 : x
  2. Step 2: Convert to fraction form
    2,049.54/3,074.76 = 750.98/x
  3. Step 3: Cross multiply
    2,049.54x = 3,074.76 × 750.98
  4. Step 4: Simplify right side
    2,049.54x = 2,309,067.89
  5. Step 5: Solve for x
    x = 2,309,067.89/2,049.54
  6. Step 6: Final answer
    x = 1,126.63

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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.