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Finding the Fourth Proportional to 2,654.86, 3,982.47 and 923.62

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Solution

The fourth proportional to 2,654.86, 3,982.47 and 923.62 is: 1,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.86 : 3,982.47 = 923.62 : x
  2. Step 2: Convert to fraction form
    2,654.86/3,982.47 = 923.62/x
  3. Step 3: Cross multiply
    2,654.86x = 3,982.47 × 923.62
  4. Step 4: Simplify right side
    2,654.86x = 3,678,288.94
  5. Step 5: Solve for x
    x = 3,678,288.94/2,654.86
  6. Step 6: Final answer
    x = 1,385.49

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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.