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Finding the Fourth Proportional to 2,184.98, 3,276.67 and 952.09

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Solution

The fourth proportional to 2,184.98, 3,276.67 and 952.09 is: 1,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.98 : 3,276.67 = 952.09 : x
  2. Step 2: Convert to fraction form
    2,184.98/3,276.67 = 952.09/x
  3. Step 3: Cross multiply
    2,184.98x = 3,276.67 × 952.09
  4. Step 4: Simplify right side
    2,184.98x = 3,119,665.98
  5. Step 5: Solve for x
    x = 3,119,665.98/2,184.98
  6. Step 6: Final answer
    x = 1,427.78

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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.