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Finding the Fourth Proportional to 2,982.06, 4,103.19 and 2,905.74

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Solution

The fourth proportional to 2,982.06, 4,103.19 and 2,905.74 is: 3,998.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.06 : 4,103.19 = 2,905.74 : x
  2. Step 2: Convert to fraction form
    2,982.06/4,103.19 = 2,905.74/x
  3. Step 3: Cross multiply
    2,982.06x = 4,103.19 × 2,905.74
  4. Step 4: Simplify right side
    2,982.06x = 11,922,803.31
  5. Step 5: Solve for x
    x = 11,922,803.31/2,982.06
  6. Step 6: Final answer
    x = 3,998.18

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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.