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Finding the Fourth Proportional to 2,486.97, 3,728.03 and 1,027.17

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Solution

The fourth proportional to 2,486.97, 3,728.03 and 1,027.17 is: 1,539.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.97 : 3,728.03 = 1,027.17 : x
  2. Step 2: Convert to fraction form
    2,486.97/3,728.03 = 1,027.17/x
  3. Step 3: Cross multiply
    2,486.97x = 3,728.03 × 1,027.17
  4. Step 4: Simplify right side
    2,486.97x = 3,829,315.44
  5. Step 5: Solve for x
    x = 3,829,315.44/2,486.97
  6. Step 6: Final answer
    x = 1,539.75

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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.