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Finding the Fourth Proportional to 3,012.96, 4,519.52 and 960.96

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Solution

The fourth proportional to 3,012.96, 4,519.52 and 960.96 is: 1,441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.96 : 4,519.52 = 960.96 : x
  2. Step 2: Convert to fraction form
    3,012.96/4,519.52 = 960.96/x
  3. Step 3: Cross multiply
    3,012.96x = 4,519.52 × 960.96
  4. Step 4: Simplify right side
    3,012.96x = 4,343,077.94
  5. Step 5: Solve for x
    x = 4,343,077.94/3,012.96
  6. Step 6: Final answer
    x = 1,441.47

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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.