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Finding the Fourth Proportional to 2,349.25, 3,238.89 and 2,021.20

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Solution

The fourth proportional to 2,349.25, 3,238.89 and 2,021.20 is: 2,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.25 : 3,238.89 = 2,021.20 : x
  2. Step 2: Convert to fraction form
    2,349.25/3,238.89 = 2,021.20/x
  3. Step 3: Cross multiply
    2,349.25x = 3,238.89 × 2,021.20
  4. Step 4: Simplify right side
    2,349.25x = 6,546,444.47
  5. Step 5: Solve for x
    x = 6,546,444.47/2,349.25
  6. Step 6: Final answer
    x = 2,786.61

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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.