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Finding the Fourth Proportional to 2,617.82, 3,927.05 and 952.05

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Solution

The fourth proportional to 2,617.82, 3,927.05 and 952.05 is: 1,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.82 : 3,927.05 = 952.05 : x
  2. Step 2: Convert to fraction form
    2,617.82/3,927.05 = 952.05/x
  3. Step 3: Cross multiply
    2,617.82x = 3,927.05 × 952.05
  4. Step 4: Simplify right side
    2,617.82x = 3,738,761.49
  5. Step 5: Solve for x
    x = 3,738,761.49/2,617.82
  6. Step 6: Final answer
    x = 1,428.20

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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.