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Finding the Fourth Proportional to 2,560.33, 3,529.10 and 1,999.82

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Solution

The fourth proportional to 2,560.33, 3,529.10 and 1,999.82 is: 2,756.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.33 : 3,529.10 = 1,999.82 : x
  2. Step 2: Convert to fraction form
    2,560.33/3,529.10 = 1,999.82/x
  3. Step 3: Cross multiply
    2,560.33x = 3,529.10 × 1,999.82
  4. Step 4: Simplify right side
    2,560.33x = 7,057,578.09
  5. Step 5: Solve for x
    x = 7,057,578.09/2,560.33
  6. Step 6: Final answer
    x = 2,756.51

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