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Finding the Fourth Proportional to 2,285.17, 3,427.82 and 725.18

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Solution

The fourth proportional to 2,285.17, 3,427.82 and 725.18 is: 1,087.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.17 : 3,427.82 = 725.18 : x
  2. Step 2: Convert to fraction form
    2,285.17/3,427.82 = 725.18/x
  3. Step 3: Cross multiply
    2,285.17x = 3,427.82 × 725.18
  4. Step 4: Simplify right side
    2,285.17x = 2,485,786.51
  5. Step 5: Solve for x
    x = 2,485,786.51/2,285.17
  6. Step 6: Final answer
    x = 1,087.79

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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.