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Finding the Fourth Proportional to 2,122.38, 2,922.51 and 1,678.86

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Solution

The fourth proportional to 2,122.38, 2,922.51 and 1,678.86 is: 2,311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.38 : 2,922.51 = 1,678.86 : x
  2. Step 2: Convert to fraction form
    2,122.38/2,922.51 = 1,678.86/x
  3. Step 3: Cross multiply
    2,122.38x = 2,922.51 × 1,678.86
  4. Step 4: Simplify right side
    2,122.38x = 4,906,485.14
  5. Step 5: Solve for x
    x = 4,906,485.14/2,122.38
  6. Step 6: Final answer
    x = 2,311.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.