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Finding the Fourth Proportional to 2,744.81, 3,780.24 and 2,371.67

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Solution

The fourth proportional to 2,744.81, 3,780.24 and 2,371.67 is: 3,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.81 : 3,780.24 = 2,371.67 : x
  2. Step 2: Convert to fraction form
    2,744.81/3,780.24 = 2,371.67/x
  3. Step 3: Cross multiply
    2,744.81x = 3,780.24 × 2,371.67
  4. Step 4: Simplify right side
    2,744.81x = 8,965,481.80
  5. Step 5: Solve for x
    x = 8,965,481.80/2,744.81
  6. Step 6: Final answer
    x = 3,266.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.