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Finding the Fourth Proportional to 1,995.14, 2,992.31 and 762.25

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Solution

The fourth proportional to 1,995.14, 2,992.31 and 762.25 is: 1,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.14 : 2,992.31 = 762.25 : x
  2. Step 2: Convert to fraction form
    1,995.14/2,992.31 = 762.25/x
  3. Step 3: Cross multiply
    1,995.14x = 2,992.31 × 762.25
  4. Step 4: Simplify right side
    1,995.14x = 2,280,888.30
  5. Step 5: Solve for x
    x = 2,280,888.30/1,995.14
  6. Step 6: Final answer
    x = 1,143.23

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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.