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Finding the Fourth Proportional to 2,512.92, 3,769.32 and 781.56

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Solution

The fourth proportional to 2,512.92, 3,769.32 and 781.56 is: 1,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.92 : 3,769.32 = 781.56 : x
  2. Step 2: Convert to fraction form
    2,512.92/3,769.32 = 781.56/x
  3. Step 3: Cross multiply
    2,512.92x = 3,769.32 × 781.56
  4. Step 4: Simplify right side
    2,512.92x = 2,945,949.74
  5. Step 5: Solve for x
    x = 2,945,949.74/2,512.92
  6. Step 6: Final answer
    x = 1,172.32

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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.