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Finding the Fourth Proportional to 2,900.82, 4,350.31 and 952.57

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Solution

The fourth proportional to 2,900.82, 4,350.31 and 952.57 is: 1,428.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.82 : 4,350.31 = 952.57 : x
  2. Step 2: Convert to fraction form
    2,900.82/4,350.31 = 952.57/x
  3. Step 3: Cross multiply
    2,900.82x = 4,350.31 × 952.57
  4. Step 4: Simplify right side
    2,900.82x = 4,143,974.80
  5. Step 5: Solve for x
    x = 4,143,974.80/2,900.82
  6. Step 6: Final answer
    x = 1,428.55

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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.