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Finding the Fourth Proportional to 2,231.82, 3,084.48 and 1,733.94

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Solution

The fourth proportional to 2,231.82, 3,084.48 and 1,733.94 is: 2,396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.82 : 3,084.48 = 1,733.94 : x
  2. Step 2: Convert to fraction form
    2,231.82/3,084.48 = 1,733.94/x
  3. Step 3: Cross multiply
    2,231.82x = 3,084.48 × 1,733.94
  4. Step 4: Simplify right side
    2,231.82x = 5,348,303.25
  5. Step 5: Solve for x
    x = 5,348,303.25/2,231.82
  6. Step 6: Final answer
    x = 2,396.39

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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.