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Finding the Fourth Proportional to 2,906.26, 4,010.62 and 1,664.50

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Solution

The fourth proportional to 2,906.26, 4,010.62 and 1,664.50 is: 2,297.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.26 : 4,010.62 = 1,664.50 : x
  2. Step 2: Convert to fraction form
    2,906.26/4,010.62 = 1,664.50/x
  3. Step 3: Cross multiply
    2,906.26x = 4,010.62 × 1,664.50
  4. Step 4: Simplify right side
    2,906.26x = 6,675,676.99
  5. Step 5: Solve for x
    x = 6,675,676.99/2,906.26
  6. Step 6: Final answer
    x = 2,297.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.