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Finding the Fourth Proportional to 2,185.29, 3,278.54 and 952.81

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Solution

The fourth proportional to 2,185.29, 3,278.54 and 952.81 is: 1,429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.29 : 3,278.54 = 952.81 : x
  2. Step 2: Convert to fraction form
    2,185.29/3,278.54 = 952.81/x
  3. Step 3: Cross multiply
    2,185.29x = 3,278.54 × 952.81
  4. Step 4: Simplify right side
    2,185.29x = 3,123,819.88
  5. Step 5: Solve for x
    x = 3,123,819.88/2,185.29
  6. Step 6: Final answer
    x = 1,429.48

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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.