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Finding the Fourth Proportional to 2,112.50, 3,169.84 and 942.86

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Solution

The fourth proportional to 2,112.50, 3,169.84 and 942.86 is: 1,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.50 : 3,169.84 = 942.86 : x
  2. Step 2: Convert to fraction form
    2,112.50/3,169.84 = 942.86/x
  3. Step 3: Cross multiply
    2,112.50x = 3,169.84 × 942.86
  4. Step 4: Simplify right side
    2,112.50x = 2,988,715.34
  5. Step 5: Solve for x
    x = 2,988,715.34/2,112.50
  6. Step 6: Final answer
    x = 1,414.78

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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.