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Finding the Fourth Proportional to 2,612.98, 3,919.59 and 665.20

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Solution

The fourth proportional to 2,612.98, 3,919.59 and 665.20 is: 997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.98 : 3,919.59 = 665.20 : x
  2. Step 2: Convert to fraction form
    2,612.98/3,919.59 = 665.20/x
  3. Step 3: Cross multiply
    2,612.98x = 3,919.59 × 665.20
  4. Step 4: Simplify right side
    2,612.98x = 2,607,311.27
  5. Step 5: Solve for x
    x = 2,607,311.27/2,612.98
  6. Step 6: Final answer
    x = 997.83

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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.