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Finding the Fourth Proportional to 2,613.23, 3,919.82 and 665.42

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Solution

The fourth proportional to 2,613.23, 3,919.82 and 665.42 is: 998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.23 : 3,919.82 = 665.42 : x
  2. Step 2: Convert to fraction form
    2,613.23/3,919.82 = 665.42/x
  3. Step 3: Cross multiply
    2,613.23x = 3,919.82 × 665.42
  4. Step 4: Simplify right side
    2,613.23x = 2,608,333.10
  5. Step 5: Solve for x
    x = 2,608,333.10/2,613.23
  6. Step 6: Final answer
    x = 998.13

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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.