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Finding the Fourth Proportional to 2,982.31, 4,103.54 and 2,905.99

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Solution

The fourth proportional to 2,982.31, 4,103.54 and 2,905.99 is: 3,998.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.31 : 4,103.54 = 2,905.99 : x
  2. Step 2: Convert to fraction form
    2,982.31/4,103.54 = 2,905.99/x
  3. Step 3: Cross multiply
    2,982.31x = 4,103.54 × 2,905.99
  4. Step 4: Simplify right side
    2,982.31x = 11,924,831.67
  5. Step 5: Solve for x
    x = 11,924,831.67/2,982.31
  6. Step 6: Final answer
    x = 3,998.52

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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.