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Finding the Fourth Proportional to 3,277.28, 4,915.82 and 812.04

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Solution

The fourth proportional to 3,277.28, 4,915.82 and 812.04 is: 1,218.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.28 : 4,915.82 = 812.04 : x
  2. Step 2: Convert to fraction form
    3,277.28/4,915.82 = 812.04/x
  3. Step 3: Cross multiply
    3,277.28x = 4,915.82 × 812.04
  4. Step 4: Simplify right side
    3,277.28x = 3,991,838.41
  5. Step 5: Solve for x
    x = 3,991,838.41/3,277.28
  6. Step 6: Final answer
    x = 1,218.04

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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.