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Finding the Fourth Proportional to 2,507.22, 3,760.82 and 863.76

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Solution

The fourth proportional to 2,507.22, 3,760.82 and 863.76 is: 1,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.22 : 3,760.82 = 863.76 : x
  2. Step 2: Convert to fraction form
    2,507.22/3,760.82 = 863.76/x
  3. Step 3: Cross multiply
    2,507.22x = 3,760.82 × 863.76
  4. Step 4: Simplify right side
    2,507.22x = 3,248,441.56
  5. Step 5: Solve for x
    x = 3,248,441.56/2,507.22
  6. Step 6: Final answer
    x = 1,295.64

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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.