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Finding the Fourth Proportional to 1,770.73, 2,443.73 and 1,182.25

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Solution

The fourth proportional to 1,770.73, 2,443.73 and 1,182.25 is: 1,631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.73 : 2,443.73 = 1,182.25 : x
  2. Step 2: Convert to fraction form
    1,770.73/2,443.73 = 1,182.25/x
  3. Step 3: Cross multiply
    1,770.73x = 2,443.73 × 1,182.25
  4. Step 4: Simplify right side
    1,770.73x = 2,889,099.79
  5. Step 5: Solve for x
    x = 2,889,099.79/1,770.73
  6. Step 6: Final answer
    x = 1,631.59

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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.