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Finding the Fourth Proportional to 3,243.40, 4,862.70 and 2,200.80

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Solution

The fourth proportional to 3,243.40, 4,862.70 and 2,200.80 is: 3,299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.40 : 4,862.70 = 2,200.80 : x
  2. Step 2: Convert to fraction form
    3,243.40/4,862.70 = 2,200.80/x
  3. Step 3: Cross multiply
    3,243.40x = 4,862.70 × 2,200.80
  4. Step 4: Simplify right side
    3,243.40x = 10,701,830.16
  5. Step 5: Solve for x
    x = 10,701,830.16/3,243.40
  6. Step 6: Final answer
    x = 3,299.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.