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Finding the Fourth Proportional to 2,179.86, 3,262.50 and 2,150.70

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Solution

The fourth proportional to 2,179.86, 3,262.50 and 2,150.70 is: 3,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.86 : 3,262.50 = 2,150.70 : x
  2. Step 2: Convert to fraction form
    2,179.86/3,262.50 = 2,150.70/x
  3. Step 3: Cross multiply
    2,179.86x = 3,262.50 × 2,150.70
  4. Step 4: Simplify right side
    2,179.86x = 7,016,658.75
  5. Step 5: Solve for x
    x = 7,016,658.75/2,179.86
  6. Step 6: Final answer
    x = 3,218.86

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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.