Home / 3,052.26-4,578.35-743.78

Finding the Fourth Proportional to 3,052.26, 4,578.35 and 743.78

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Solution

The fourth proportional to 3,052.26, 4,578.35 and 743.78 is: 1,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.26 : 4,578.35 = 743.78 : x
  2. Step 2: Convert to fraction form
    3,052.26/4,578.35 = 743.78/x
  3. Step 3: Cross multiply
    3,052.26x = 4,578.35 × 743.78
  4. Step 4: Simplify right side
    3,052.26x = 3,405,285.16
  5. Step 5: Solve for x
    x = 3,405,285.16/3,052.26
  6. Step 6: Final answer
    x = 1,115.66

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Why These Related Problems?

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