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Finding the Fourth Proportional to 2,238.26, 3,086.03 and 1,440.23

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Solution

The fourth proportional to 2,238.26, 3,086.03 and 1,440.23 is: 1,985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.26 : 3,086.03 = 1,440.23 : x
  2. Step 2: Convert to fraction form
    2,238.26/3,086.03 = 1,440.23/x
  3. Step 3: Cross multiply
    2,238.26x = 3,086.03 × 1,440.23
  4. Step 4: Simplify right side
    2,238.26x = 4,444,585.79
  5. Step 5: Solve for x
    x = 4,444,585.79/2,238.26
  6. Step 6: Final answer
    x = 1,985.73

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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.