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Finding the Fourth Proportional to 2,086.27, 2,879 and 1,154.77

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Solution

The fourth proportional to 2,086.27, 2,879 and 1,154.77 is: 1,593.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.27 : 2,879 = 1,154.77 : x
  2. Step 2: Convert to fraction form
    2,086.27/2,879 = 1,154.77/x
  3. Step 3: Cross multiply
    2,086.27x = 2,879 × 1,154.77
  4. Step 4: Simplify right side
    2,086.27x = 3,324,582.83
  5. Step 5: Solve for x
    x = 3,324,582.83/2,086.27
  6. Step 6: Final answer
    x = 1,593.55

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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.