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Finding the Fourth Proportional to 2,664.56, 3,677.33 and 1,469.75

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Solution

The fourth proportional to 2,664.56, 3,677.33 and 1,469.75 is: 2,028.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.56 : 3,677.33 = 1,469.75 : x
  2. Step 2: Convert to fraction form
    2,664.56/3,677.33 = 1,469.75/x
  3. Step 3: Cross multiply
    2,664.56x = 3,677.33 × 1,469.75
  4. Step 4: Simplify right side
    2,664.56x = 5,404,741.06
  5. Step 5: Solve for x
    x = 5,404,741.06/2,664.56
  6. Step 6: Final answer
    x = 2,028.38

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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.