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Finding the Fourth Proportional to 2,185.23, 3,278.25 and 952.41

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Solution

The fourth proportional to 2,185.23, 3,278.25 and 952.41 is: 1,428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.23 : 3,278.25 = 952.41 : x
  2. Step 2: Convert to fraction form
    2,185.23/3,278.25 = 952.41/x
  3. Step 3: Cross multiply
    2,185.23x = 3,278.25 × 952.41
  4. Step 4: Simplify right side
    2,185.23x = 3,122,238.08
  5. Step 5: Solve for x
    x = 3,122,238.08/2,185.23
  6. Step 6: Final answer
    x = 1,428.79

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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.