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Finding the Fourth Proportional to 3,161.38, 4,362.78 and 1,764.22

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Solution

The fourth proportional to 3,161.38, 4,362.78 and 1,764.22 is: 2,434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.38 : 4,362.78 = 1,764.22 : x
  2. Step 2: Convert to fraction form
    3,161.38/4,362.78 = 1,764.22/x
  3. Step 3: Cross multiply
    3,161.38x = 4,362.78 × 1,764.22
  4. Step 4: Simplify right side
    3,161.38x = 7,696,903.73
  5. Step 5: Solve for x
    x = 7,696,903.73/3,161.38
  6. Step 6: Final answer
    x = 2,434.67

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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.