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Finding the Fourth Proportional to 1,770.11, 2,443.17 and 1,172.73

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Solution

The fourth proportional to 1,770.11, 2,443.17 and 1,172.73 is: 1,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.11 : 2,443.17 = 1,172.73 : x
  2. Step 2: Convert to fraction form
    1,770.11/2,443.17 = 1,172.73/x
  3. Step 3: Cross multiply
    1,770.11x = 2,443.17 × 1,172.73
  4. Step 4: Simplify right side
    1,770.11x = 2,865,178.75
  5. Step 5: Solve for x
    x = 2,865,178.75/1,770.11
  6. Step 6: Final answer
    x = 1,618.64

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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.