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Finding the Fourth Proportional to 2,665.24, 3,998.77 and 2,406.44

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Solution

The fourth proportional to 2,665.24, 3,998.77 and 2,406.44 is: 3,610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.24 : 3,998.77 = 2,406.44 : x
  2. Step 2: Convert to fraction form
    2,665.24/3,998.77 = 2,406.44/x
  3. Step 3: Cross multiply
    2,665.24x = 3,998.77 × 2,406.44
  4. Step 4: Simplify right side
    2,665.24x = 9,622,804.06
  5. Step 5: Solve for x
    x = 9,622,804.06/2,665.24
  6. Step 6: Final answer
    x = 3,610.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.