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Finding the Fourth Proportional to 2,752.31, 3,798.29 and 1,968.23

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Solution

The fourth proportional to 2,752.31, 3,798.29 and 1,968.23 is: 2,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.31 : 3,798.29 = 1,968.23 : x
  2. Step 2: Convert to fraction form
    2,752.31/3,798.29 = 1,968.23/x
  3. Step 3: Cross multiply
    2,752.31x = 3,798.29 × 1,968.23
  4. Step 4: Simplify right side
    2,752.31x = 7,475,908.33
  5. Step 5: Solve for x
    x = 7,475,908.33/2,752.31
  6. Step 6: Final answer
    x = 2,716.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.