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Finding the Fourth Proportional to 2,512.43, 3,768.58 and 663.67

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Solution

The fourth proportional to 2,512.43, 3,768.58 and 663.67 is: 995.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.43 : 3,768.58 = 663.67 : x
  2. Step 2: Convert to fraction form
    2,512.43/3,768.58 = 663.67/x
  3. Step 3: Cross multiply
    2,512.43x = 3,768.58 × 663.67
  4. Step 4: Simplify right side
    2,512.43x = 2,501,104.57
  5. Step 5: Solve for x
    x = 2,501,104.57/2,512.43
  6. Step 6: Final answer
    x = 995.49

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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.