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Finding the Fourth Proportional to 2,234.96, 3,083.10 and 1,449.26

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Solution

The fourth proportional to 2,234.96, 3,083.10 and 1,449.26 is: 1,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.96 : 3,083.10 = 1,449.26 : x
  2. Step 2: Convert to fraction form
    2,234.96/3,083.10 = 1,449.26/x
  3. Step 3: Cross multiply
    2,234.96x = 3,083.10 × 1,449.26
  4. Step 4: Simplify right side
    2,234.96x = 4,468,213.51
  5. Step 5: Solve for x
    x = 4,468,213.51/2,234.96
  6. Step 6: Final answer
    x = 1,999.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.