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Finding the Fourth Proportional to 2,352.69, 3,238.49 and 2,131.26

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Solution

The fourth proportional to 2,352.69, 3,238.49 and 2,131.26 is: 2,933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.69 : 3,238.49 = 2,131.26 : x
  2. Step 2: Convert to fraction form
    2,352.69/3,238.49 = 2,131.26/x
  3. Step 3: Cross multiply
    2,352.69x = 3,238.49 × 2,131.26
  4. Step 4: Simplify right side
    2,352.69x = 6,902,053.54
  5. Step 5: Solve for x
    x = 6,902,053.54/2,352.69
  6. Step 6: Final answer
    x = 2,933.69

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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.