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Finding the Fourth Proportional to 2,509.62, 3,763.23 and 927.82

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Solution

The fourth proportional to 2,509.62, 3,763.23 and 927.82 is: 1,391.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.62 : 3,763.23 = 927.82 : x
  2. Step 2: Convert to fraction form
    2,509.62/3,763.23 = 927.82/x
  3. Step 3: Cross multiply
    2,509.62x = 3,763.23 × 927.82
  4. Step 4: Simplify right side
    2,509.62x = 3,491,609.11
  5. Step 5: Solve for x
    x = 3,491,609.11/2,509.62
  6. Step 6: Final answer
    x = 1,391.29

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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.