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Finding the Fourth Proportional to 2,768.75, 3,819.15 and 1,648.92

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Solution

The fourth proportional to 2,768.75, 3,819.15 and 1,648.92 is: 2,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.75 : 3,819.15 = 1,648.92 : x
  2. Step 2: Convert to fraction form
    2,768.75/3,819.15 = 1,648.92/x
  3. Step 3: Cross multiply
    2,768.75x = 3,819.15 × 1,648.92
  4. Step 4: Simplify right side
    2,768.75x = 6,297,472.82
  5. Step 5: Solve for x
    x = 6,297,472.82/2,768.75
  6. Step 6: Final answer
    x = 2,274.49

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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.