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Finding the Fourth Proportional to 3,243.97, 4,476.23 and 1,827.42

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Solution

The fourth proportional to 3,243.97, 4,476.23 and 1,827.42 is: 2,521.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.97 : 4,476.23 = 1,827.42 : x
  2. Step 2: Convert to fraction form
    3,243.97/4,476.23 = 1,827.42/x
  3. Step 3: Cross multiply
    3,243.97x = 4,476.23 × 1,827.42
  4. Step 4: Simplify right side
    3,243.97x = 8,179,952.23
  5. Step 5: Solve for x
    x = 8,179,952.23/3,243.97
  6. Step 6: Final answer
    x = 2,521.59

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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.