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Finding the Fourth Proportional to 2,086.42, 2,879.22 and 1,154.92

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Solution

The fourth proportional to 2,086.42, 2,879.22 and 1,154.92 is: 1,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.42 : 2,879.22 = 1,154.92 : x
  2. Step 2: Convert to fraction form
    2,086.42/2,879.22 = 1,154.92/x
  3. Step 3: Cross multiply
    2,086.42x = 2,879.22 × 1,154.92
  4. Step 4: Simplify right side
    2,086.42x = 3,325,268.76
  5. Step 5: Solve for x
    x = 3,325,268.76/2,086.42
  6. Step 6: Final answer
    x = 1,593.77

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