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Finding the Fourth Proportional to 2,357.82, 3,511.62 and 2,293.23

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Solution

The fourth proportional to 2,357.82, 3,511.62 and 2,293.23 is: 3,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.82 : 3,511.62 = 2,293.23 : x
  2. Step 2: Convert to fraction form
    2,357.82/3,511.62 = 2,293.23/x
  3. Step 3: Cross multiply
    2,357.82x = 3,511.62 × 2,293.23
  4. Step 4: Simplify right side
    2,357.82x = 8,052,952.33
  5. Step 5: Solve for x
    x = 8,052,952.33/2,357.82
  6. Step 6: Final answer
    x = 3,415.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.