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Finding the Fourth Proportional to 2,086.74, 2,879.68 and 1,142.55

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Solution

The fourth proportional to 2,086.74, 2,879.68 and 1,142.55 is: 1,576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.74 : 2,879.68 = 1,142.55 : x
  2. Step 2: Convert to fraction form
    2,086.74/2,879.68 = 1,142.55/x
  3. Step 3: Cross multiply
    2,086.74x = 2,879.68 × 1,142.55
  4. Step 4: Simplify right side
    2,086.74x = 3,290,178.38
  5. Step 5: Solve for x
    x = 3,290,178.38/2,086.74
  6. Step 6: Final answer
    x = 1,576.71

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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.