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Finding the Fourth Proportional to 2,752.34, 3,797.97 and 2,229.62

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Solution

The fourth proportional to 2,752.34, 3,797.97 and 2,229.62 is: 3,076.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.34 : 3,797.97 = 2,229.62 : x
  2. Step 2: Convert to fraction form
    2,752.34/3,797.97 = 2,229.62/x
  3. Step 3: Cross multiply
    2,752.34x = 3,797.97 × 2,229.62
  4. Step 4: Simplify right side
    2,752.34x = 8,468,029.87
  5. Step 5: Solve for x
    x = 8,468,029.87/2,752.34
  6. Step 6: Final answer
    x = 3,076.67

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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.