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Finding the Fourth Proportional to 2,238.39, 3,357.93 and 1,142.16

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Solution

The fourth proportional to 2,238.39, 3,357.93 and 1,142.16 is: 1,713.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.39 : 3,357.93 = 1,142.16 : x
  2. Step 2: Convert to fraction form
    2,238.39/3,357.93 = 1,142.16/x
  3. Step 3: Cross multiply
    2,238.39x = 3,357.93 × 1,142.16
  4. Step 4: Simplify right side
    2,238.39x = 3,835,293.33
  5. Step 5: Solve for x
    x = 3,835,293.33/2,238.39
  6. Step 6: Final answer
    x = 1,713.42

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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.