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Finding the Fourth Proportional to 2,044.09, 3,065.74 and 794.68

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Solution

The fourth proportional to 2,044.09, 3,065.74 and 794.68 is: 1,191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.09 : 3,065.74 = 794.68 : x
  2. Step 2: Convert to fraction form
    2,044.09/3,065.74 = 794.68/x
  3. Step 3: Cross multiply
    2,044.09x = 3,065.74 × 794.68
  4. Step 4: Simplify right side
    2,044.09x = 2,436,289.86
  5. Step 5: Solve for x
    x = 2,436,289.86/2,044.09
  6. Step 6: Final answer
    x = 1,191.87

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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.