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Finding the Fourth Proportional to 2,751, 3,796.62 and 1,509.24

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Solution

The fourth proportional to 2,751, 3,796.62 and 1,509.24 is: 2,082.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751 : 3,796.62 = 1,509.24 : x
  2. Step 2: Convert to fraction form
    2,751/3,796.62 = 1,509.24/x
  3. Step 3: Cross multiply
    2,751x = 3,796.62 × 1,509.24
  4. Step 4: Simplify right side
    2,751x = 5,730,010.77
  5. Step 5: Solve for x
    x = 5,730,010.77/2,751
  6. Step 6: Final answer
    x = 2,082.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.