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Finding the Fourth Proportional to 2,185.73, 3,277.80 and 952.84

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Solution

The fourth proportional to 2,185.73, 3,277.80 and 952.84 is: 1,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.73 : 3,277.80 = 952.84 : x
  2. Step 2: Convert to fraction form
    2,185.73/3,277.80 = 952.84/x
  3. Step 3: Cross multiply
    2,185.73x = 3,277.80 × 952.84
  4. Step 4: Simplify right side
    2,185.73x = 3,123,218.95
  5. Step 5: Solve for x
    x = 3,123,218.95/2,185.73
  6. Step 6: Final answer
    x = 1,428.91

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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.