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Finding the Fourth Proportional to 2,613.12, 3,919.68 and 665.31

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Solution

The fourth proportional to 2,613.12, 3,919.68 and 665.31 is: 997.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.12 : 3,919.68 = 665.31 : x
  2. Step 2: Convert to fraction form
    2,613.12/3,919.68 = 665.31/x
  3. Step 3: Cross multiply
    2,613.12x = 3,919.68 × 665.31
  4. Step 4: Simplify right side
    2,613.12x = 2,607,802.30
  5. Step 5: Solve for x
    x = 2,607,802.30/2,613.12
  6. Step 6: Final answer
    x = 997.97

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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.