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Finding the Fourth Proportional to 2,143.86, 2,958.57 and 1,212.18

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Solution

The fourth proportional to 2,143.86, 2,958.57 and 1,212.18 is: 1,672.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.86 : 2,958.57 = 1,212.18 : x
  2. Step 2: Convert to fraction form
    2,143.86/2,958.57 = 1,212.18/x
  3. Step 3: Cross multiply
    2,143.86x = 2,958.57 × 1,212.18
  4. Step 4: Simplify right side
    2,143.86x = 3,586,319.38
  5. Step 5: Solve for x
    x = 3,586,319.38/2,143.86
  6. Step 6: Final answer
    x = 1,672.83

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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.