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Finding the Fourth Proportional to 3,581.34, 4,942.34 and 2,322.91

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Solution

The fourth proportional to 3,581.34, 4,942.34 and 2,322.91 is: 3,205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.34 : 4,942.34 = 2,322.91 : x
  2. Step 2: Convert to fraction form
    3,581.34/4,942.34 = 2,322.91/x
  3. Step 3: Cross multiply
    3,581.34x = 4,942.34 × 2,322.91
  4. Step 4: Simplify right side
    3,581.34x = 11,480,611.01
  5. Step 5: Solve for x
    x = 11,480,611.01/3,581.34
  6. Step 6: Final answer
    x = 3,205.67

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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.