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Finding the Fourth Proportional to 3,212.76, 4,819.83 and 1,826.76

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Solution

The fourth proportional to 3,212.76, 4,819.83 and 1,826.76 is: 2,740.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.76 : 4,819.83 = 1,826.76 : x
  2. Step 2: Convert to fraction form
    3,212.76/4,819.83 = 1,826.76/x
  3. Step 3: Cross multiply
    3,212.76x = 4,819.83 × 1,826.76
  4. Step 4: Simplify right side
    3,212.76x = 8,804,672.65
  5. Step 5: Solve for x
    x = 8,804,672.65/3,212.76
  6. Step 6: Final answer
    x = 2,740.53

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1.5x scale

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.