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Finding the Fourth Proportional to 2,874.33, 4,311.41 and 794.46

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Solution

The fourth proportional to 2,874.33, 4,311.41 and 794.46 is: 1,191.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.33 : 4,311.41 = 794.46 : x
  2. Step 2: Convert to fraction form
    2,874.33/4,311.41 = 794.46/x
  3. Step 3: Cross multiply
    2,874.33x = 4,311.41 × 794.46
  4. Step 4: Simplify right side
    2,874.33x = 3,425,242.79
  5. Step 5: Solve for x
    x = 3,425,242.79/2,874.33
  6. Step 6: Final answer
    x = 1,191.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.