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Finding the Fourth Proportional to 2,892.45, 3,995.82 and 2,309.25

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Solution

The fourth proportional to 2,892.45, 3,995.82 and 2,309.25 is: 3,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.45 : 3,995.82 = 2,309.25 : x
  2. Step 2: Convert to fraction form
    2,892.45/3,995.82 = 2,309.25/x
  3. Step 3: Cross multiply
    2,892.45x = 3,995.82 × 2,309.25
  4. Step 4: Simplify right side
    2,892.45x = 9,227,347.34
  5. Step 5: Solve for x
    x = 9,227,347.34/2,892.45
  6. Step 6: Final answer
    x = 3,190.15

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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.