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Finding the Fourth Proportional to 2,452.33, 3,682.14 and 1,723.33

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Solution

The fourth proportional to 2,452.33, 3,682.14 and 1,723.33 is: 2,587.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.33 : 3,682.14 = 1,723.33 : x
  2. Step 2: Convert to fraction form
    2,452.33/3,682.14 = 1,723.33/x
  3. Step 3: Cross multiply
    2,452.33x = 3,682.14 × 1,723.33
  4. Step 4: Simplify right side
    2,452.33x = 6,345,542.33
  5. Step 5: Solve for x
    x = 6,345,542.33/2,452.33
  6. Step 6: Final answer
    x = 2,587.56

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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.