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Finding the Fourth Proportional to 2,613.11, 3,919.32 and 665.19

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Solution

The fourth proportional to 2,613.11, 3,919.32 and 665.19 is: 997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.11 : 3,919.32 = 665.19 : x
  2. Step 2: Convert to fraction form
    2,613.11/3,919.32 = 665.19/x
  3. Step 3: Cross multiply
    2,613.11x = 3,919.32 × 665.19
  4. Step 4: Simplify right side
    2,613.11x = 2,607,092.47
  5. Step 5: Solve for x
    x = 2,607,092.47/2,613.11
  6. Step 6: Final answer
    x = 997.70

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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.