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Finding the Fourth Proportional to 2,612.19, 3,917.91 and 664.29

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Solution

The fourth proportional to 2,612.19, 3,917.91 and 664.29 is: 996.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.19 : 3,917.91 = 664.29 : x
  2. Step 2: Convert to fraction form
    2,612.19/3,917.91 = 664.29/x
  3. Step 3: Cross multiply
    2,612.19x = 3,917.91 × 664.29
  4. Step 4: Simplify right side
    2,612.19x = 2,602,628.43
  5. Step 5: Solve for x
    x = 2,602,628.43/2,612.19
  6. Step 6: Final answer
    x = 996.34

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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.