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Finding the Fourth Proportional to 2,831.96, 3,908.08 and 1,589.96

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Solution

The fourth proportional to 2,831.96, 3,908.08 and 1,589.96 is: 2,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.96 : 3,908.08 = 1,589.96 : x
  2. Step 2: Convert to fraction form
    2,831.96/3,908.08 = 1,589.96/x
  3. Step 3: Cross multiply
    2,831.96x = 3,908.08 × 1,589.96
  4. Step 4: Simplify right side
    2,831.96x = 6,213,690.88
  5. Step 5: Solve for x
    x = 6,213,690.88/2,831.96
  6. Step 6: Final answer
    x = 2,194.13

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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.