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Finding the Fourth Proportional to 3,185.98, 4,397.17 and 1,770.12

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Solution

The fourth proportional to 3,185.98, 4,397.17 and 1,770.12 is: 2,443.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.98 : 4,397.17 = 1,770.12 : x
  2. Step 2: Convert to fraction form
    3,185.98/4,397.17 = 1,770.12/x
  3. Step 3: Cross multiply
    3,185.98x = 4,397.17 × 1,770.12
  4. Step 4: Simplify right side
    3,185.98x = 7,783,517.45
  5. Step 5: Solve for x
    x = 7,783,517.45/3,185.98
  6. Step 6: Final answer
    x = 2,443.05

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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.