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Finding the Fourth Proportional to 1,952.38, 2,927.73 and 1,131.22

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Solution

The fourth proportional to 1,952.38, 2,927.73 and 1,131.22 is: 1,696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.38 : 2,927.73 = 1,131.22 : x
  2. Step 2: Convert to fraction form
    1,952.38/2,927.73 = 1,131.22/x
  3. Step 3: Cross multiply
    1,952.38x = 2,927.73 × 1,131.22
  4. Step 4: Simplify right side
    1,952.38x = 3,311,892.09
  5. Step 5: Solve for x
    x = 3,311,892.09/1,952.38
  6. Step 6: Final answer
    x = 1,696.34

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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.