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Finding the Fourth Proportional to 2,034.92, 3,052.53 and 995.79

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Solution

The fourth proportional to 2,034.92, 3,052.53 and 995.79 is: 1,493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.92 : 3,052.53 = 995.79 : x
  2. Step 2: Convert to fraction form
    2,034.92/3,052.53 = 995.79/x
  3. Step 3: Cross multiply
    2,034.92x = 3,052.53 × 995.79
  4. Step 4: Simplify right side
    2,034.92x = 3,039,678.85
  5. Step 5: Solve for x
    x = 3,039,678.85/2,034.92
  6. Step 6: Final answer
    x = 1,493.76

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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.