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Finding the Fourth Proportional to 2,553.82, 3,524.25 and 1,505.92

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Solution

The fourth proportional to 2,553.82, 3,524.25 and 1,505.92 is: 2,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.82 : 3,524.25 = 1,505.92 : x
  2. Step 2: Convert to fraction form
    2,553.82/3,524.25 = 1,505.92/x
  3. Step 3: Cross multiply
    2,553.82x = 3,524.25 × 1,505.92
  4. Step 4: Simplify right side
    2,553.82x = 5,307,238.56
  5. Step 5: Solve for x
    x = 5,307,238.56/2,553.82
  6. Step 6: Final answer
    x = 2,078.16

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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.