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Finding the Fourth Proportional to 2,313.56, 3,469.99 and 926.54

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Solution

The fourth proportional to 2,313.56, 3,469.99 and 926.54 is: 1,389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.56 : 3,469.99 = 926.54 : x
  2. Step 2: Convert to fraction form
    2,313.56/3,469.99 = 926.54/x
  3. Step 3: Cross multiply
    2,313.56x = 3,469.99 × 926.54
  4. Step 4: Simplify right side
    2,313.56x = 3,215,079.62
  5. Step 5: Solve for x
    x = 3,215,079.62/2,313.56
  6. Step 6: Final answer
    x = 1,389.67

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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.