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Finding the Fourth Proportional to 2,831.63, 3,902.18 and 2,164.59

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Solution

The fourth proportional to 2,831.63, 3,902.18 and 2,164.59 is: 2,982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.63 : 3,902.18 = 2,164.59 : x
  2. Step 2: Convert to fraction form
    2,831.63/3,902.18 = 2,164.59/x
  3. Step 3: Cross multiply
    2,831.63x = 3,902.18 × 2,164.59
  4. Step 4: Simplify right side
    2,831.63x = 8,446,608.98
  5. Step 5: Solve for x
    x = 8,446,608.98/2,831.63
  6. Step 6: Final answer
    x = 2,982.95

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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.