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Finding the Fourth Proportional to 1,997.62, 2,757.54 and 1,460.08

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Solution

The fourth proportional to 1,997.62, 2,757.54 and 1,460.08 is: 2,015.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.62 : 2,757.54 = 1,460.08 : x
  2. Step 2: Convert to fraction form
    1,997.62/2,757.54 = 1,460.08/x
  3. Step 3: Cross multiply
    1,997.62x = 2,757.54 × 1,460.08
  4. Step 4: Simplify right side
    1,997.62x = 4,026,229.00
  5. Step 5: Solve for x
    x = 4,026,229.00/1,997.62
  6. Step 6: Final answer
    x = 2,015.51

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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.