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Finding the Fourth Proportional to 2,744.61, 3,785.85 and 1,997.40

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Solution

The fourth proportional to 2,744.61, 3,785.85 and 1,997.40 is: 2,755.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.61 : 3,785.85 = 1,997.40 : x
  2. Step 2: Convert to fraction form
    2,744.61/3,785.85 = 1,997.40/x
  3. Step 3: Cross multiply
    2,744.61x = 3,785.85 × 1,997.40
  4. Step 4: Simplify right side
    2,744.61x = 7,561,856.79
  5. Step 5: Solve for x
    x = 7,561,856.79/2,744.61
  6. Step 6: Final answer
    x = 2,755.17

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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.