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Finding the Fourth Proportional to 3,489.66, 4,815.75 and 1,997.64

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Solution

The fourth proportional to 3,489.66, 4,815.75 and 1,997.64 is: 2,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.66 : 4,815.75 = 1,997.64 : x
  2. Step 2: Convert to fraction form
    3,489.66/4,815.75 = 1,997.64/x
  3. Step 3: Cross multiply
    3,489.66x = 4,815.75 × 1,997.64
  4. Step 4: Simplify right side
    3,489.66x = 9,620,134.83
  5. Step 5: Solve for x
    x = 9,620,134.83/3,489.66
  6. Step 6: Final answer
    x = 2,756.75

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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.