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Finding the Fourth Proportional to 2,322.69, 3,481.59 and 762.29

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Solution

The fourth proportional to 2,322.69, 3,481.59 and 762.29 is: 1,142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.69 : 3,481.59 = 762.29 : x
  2. Step 2: Convert to fraction form
    2,322.69/3,481.59 = 762.29/x
  3. Step 3: Cross multiply
    2,322.69x = 3,481.59 × 762.29
  4. Step 4: Simplify right side
    2,322.69x = 2,653,979.75
  5. Step 5: Solve for x
    x = 2,653,979.75/2,322.69
  6. Step 6: Final answer
    x = 1,142.63

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