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Finding the Fourth Proportional to 2,520.56, 3,476 and 1,997.84

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Solution

The fourth proportional to 2,520.56, 3,476 and 1,997.84 is: 2,755.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.56 : 3,476 = 1,997.84 : x
  2. Step 2: Convert to fraction form
    2,520.56/3,476 = 1,997.84/x
  3. Step 3: Cross multiply
    2,520.56x = 3,476 × 1,997.84
  4. Step 4: Simplify right side
    2,520.56x = 6,944,491.84
  5. Step 5: Solve for x
    x = 6,944,491.84/2,520.56
  6. Step 6: Final answer
    x = 2,755.14

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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.