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Finding the Fourth Proportional to 3,166.92, 4,370.26 and 1,769.67

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Solution

The fourth proportional to 3,166.92, 4,370.26 and 1,769.67 is: 2,442.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.92 : 4,370.26 = 1,769.67 : x
  2. Step 2: Convert to fraction form
    3,166.92/4,370.26 = 1,769.67/x
  3. Step 3: Cross multiply
    3,166.92x = 4,370.26 × 1,769.67
  4. Step 4: Simplify right side
    3,166.92x = 7,733,918.01
  5. Step 5: Solve for x
    x = 7,733,918.01/3,166.92
  6. Step 6: Final answer
    x = 2,442.09

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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.