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Finding the Fourth Proportional to 3,052.28, 4,578.39 and 743.78

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Solution

The fourth proportional to 3,052.28, 4,578.39 and 743.78 is: 1,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.28 : 4,578.39 = 743.78 : x
  2. Step 2: Convert to fraction form
    3,052.28/4,578.39 = 743.78/x
  3. Step 3: Cross multiply
    3,052.28x = 4,578.39 × 743.78
  4. Step 4: Simplify right side
    3,052.28x = 3,405,326.36
  5. Step 5: Solve for x
    x = 3,405,326.36/3,052.28
  6. Step 6: Final answer
    x = 1,115.67

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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.