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Finding the Fourth Proportional to 2,873.48, 3,965.10 and 1,614.33

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Solution

The fourth proportional to 2,873.48, 3,965.10 and 1,614.33 is: 2,227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.48 : 3,965.10 = 1,614.33 : x
  2. Step 2: Convert to fraction form
    2,873.48/3,965.10 = 1,614.33/x
  3. Step 3: Cross multiply
    2,873.48x = 3,965.10 × 1,614.33
  4. Step 4: Simplify right side
    2,873.48x = 6,400,982.91
  5. Step 5: Solve for x
    x = 6,400,982.91/2,873.48
  6. Step 6: Final answer
    x = 2,227.61

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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.