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Finding the Fourth Proportional to 2,613.06, 3,919.67 and 764.13

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Solution

The fourth proportional to 2,613.06, 3,919.67 and 764.13 is: 1,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.06 : 3,919.67 = 764.13 : x
  2. Step 2: Convert to fraction form
    2,613.06/3,919.67 = 764.13/x
  3. Step 3: Cross multiply
    2,613.06x = 3,919.67 × 764.13
  4. Step 4: Simplify right side
    2,613.06x = 2,995,137.44
  5. Step 5: Solve for x
    x = 2,995,137.44/2,613.06
  6. Step 6: Final answer
    x = 1,146.22

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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.