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Finding the Fourth Proportional to 2,382.69, 3,289.23 and 1,597.26

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Solution

The fourth proportional to 2,382.69, 3,289.23 and 1,597.26 is: 2,204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.69 : 3,289.23 = 1,597.26 : x
  2. Step 2: Convert to fraction form
    2,382.69/3,289.23 = 1,597.26/x
  3. Step 3: Cross multiply
    2,382.69x = 3,289.23 × 1,597.26
  4. Step 4: Simplify right side
    2,382.69x = 5,253,755.51
  5. Step 5: Solve for x
    x = 5,253,755.51/2,382.69
  6. Step 6: Final answer
    x = 2,204.97

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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.