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Finding the Fourth Proportional to 3,243.69, 4,476.20 and 1,827.45

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Solution

The fourth proportional to 3,243.69, 4,476.20 and 1,827.45 is: 2,521.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.69 : 4,476.20 = 1,827.45 : x
  2. Step 2: Convert to fraction form
    3,243.69/4,476.20 = 1,827.45/x
  3. Step 3: Cross multiply
    3,243.69x = 4,476.20 × 1,827.45
  4. Step 4: Simplify right side
    3,243.69x = 8,180,022.55
  5. Step 5: Solve for x
    x = 8,180,022.55/3,243.69
  6. Step 6: Final answer
    x = 2,521.83

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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.