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Finding the Fourth Proportional to 2,086.42, 2,879.11 and 1,142.01

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Solution

The fourth proportional to 2,086.42, 2,879.11 and 1,142.01 is: 1,575.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.42 : 2,879.11 = 1,142.01 : x
  2. Step 2: Convert to fraction form
    2,086.42/2,879.11 = 1,142.01/x
  3. Step 3: Cross multiply
    2,086.42x = 2,879.11 × 1,142.01
  4. Step 4: Simplify right side
    2,086.42x = 3,287,952.31
  5. Step 5: Solve for x
    x = 3,287,952.31/2,086.42
  6. Step 6: Final answer
    x = 1,575.88

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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.