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Finding the Fourth Proportional to 2,462.63, 3,694.67 and 923.75

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Solution

The fourth proportional to 2,462.63, 3,694.67 and 923.75 is: 1,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.63 : 3,694.67 = 923.75 : x
  2. Step 2: Convert to fraction form
    2,462.63/3,694.67 = 923.75/x
  3. Step 3: Cross multiply
    2,462.63x = 3,694.67 × 923.75
  4. Step 4: Simplify right side
    2,462.63x = 3,412,951.41
  5. Step 5: Solve for x
    x = 3,412,951.41/2,462.63
  6. Step 6: Final answer
    x = 1,385.90

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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.