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Finding the Fourth Proportional to 2,610.69, 3,939.32 and 2,509.44

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Solution

The fourth proportional to 2,610.69, 3,939.32 and 2,509.44 is: 3,786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.69 : 3,939.32 = 2,509.44 : x
  2. Step 2: Convert to fraction form
    2,610.69/3,939.32 = 2,509.44/x
  3. Step 3: Cross multiply
    2,610.69x = 3,939.32 × 2,509.44
  4. Step 4: Simplify right side
    2,610.69x = 9,885,474.63
  5. Step 5: Solve for x
    x = 9,885,474.63/2,610.69
  6. Step 6: Final answer
    x = 3,786.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.