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Finding the Fourth Proportional to 2,613.12, 3,919.56 and 764.16

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Solution

The fourth proportional to 2,613.12, 3,919.56 and 764.16 is: 1,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.12 : 3,919.56 = 764.16 : x
  2. Step 2: Convert to fraction form
    2,613.12/3,919.56 = 764.16/x
  3. Step 3: Cross multiply
    2,613.12x = 3,919.56 × 764.16
  4. Step 4: Simplify right side
    2,613.12x = 2,995,170.97
  5. Step 5: Solve for x
    x = 2,995,170.97/2,613.12
  6. Step 6: Final answer
    x = 1,146.20

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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.