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Finding the Fourth Proportional to 2,986.84, 4,481.88 and 1,947.88

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Solution

The fourth proportional to 2,986.84, 4,481.88 and 1,947.88 is: 2,922.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.84 : 4,481.88 = 1,947.88 : x
  2. Step 2: Convert to fraction form
    2,986.84/4,481.88 = 1,947.88/x
  3. Step 3: Cross multiply
    2,986.84x = 4,481.88 × 1,947.88
  4. Step 4: Simplify right side
    2,986.84x = 8,730,164.41
  5. Step 5: Solve for x
    x = 8,730,164.41/2,986.84
  6. Step 6: Final answer
    x = 2,922.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.