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Finding the Fourth Proportional to 2,613.48, 3,919.31 and 764.55

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Solution

The fourth proportional to 2,613.48, 3,919.31 and 764.55 is: 1,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.48 : 3,919.31 = 764.55 : x
  2. Step 2: Convert to fraction form
    2,613.48/3,919.31 = 764.55/x
  3. Step 3: Cross multiply
    2,613.48x = 3,919.31 × 764.55
  4. Step 4: Simplify right side
    2,613.48x = 2,996,504.64
  5. Step 5: Solve for x
    x = 2,996,504.64/2,613.48
  6. Step 6: Final answer
    x = 1,146.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.