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Finding the Fourth Proportional to 2,462.65, 3,667.85 and 2,450.72

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Solution

The fourth proportional to 2,462.65, 3,667.85 and 2,450.72 is: 3,650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.65 : 3,667.85 = 2,450.72 : x
  2. Step 2: Convert to fraction form
    2,462.65/3,667.85 = 2,450.72/x
  3. Step 3: Cross multiply
    2,462.65x = 3,667.85 × 2,450.72
  4. Step 4: Simplify right side
    2,462.65x = 8,988,879.46
  5. Step 5: Solve for x
    x = 8,988,879.46/2,462.65
  6. Step 6: Final answer
    x = 3,650.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.