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Finding the Fourth Proportional to 3,179.73, 4,770.41 and 988.48

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Solution

The fourth proportional to 3,179.73, 4,770.41 and 988.48 is: 1,482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.73 : 4,770.41 = 988.48 : x
  2. Step 2: Convert to fraction form
    3,179.73/4,770.41 = 988.48/x
  3. Step 3: Cross multiply
    3,179.73x = 4,770.41 × 988.48
  4. Step 4: Simplify right side
    3,179.73x = 4,715,461.46
  5. Step 5: Solve for x
    x = 4,715,461.46/3,179.73
  6. Step 6: Final answer
    x = 1,482.97

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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.