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Finding the Fourth Proportional to 1,997.91, 2,758.86 and 1,253.15

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Solution

The fourth proportional to 1,997.91, 2,758.86 and 1,253.15 is: 1,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.91 : 2,758.86 = 1,253.15 : x
  2. Step 2: Convert to fraction form
    1,997.91/2,758.86 = 1,253.15/x
  3. Step 3: Cross multiply
    1,997.91x = 2,758.86 × 1,253.15
  4. Step 4: Simplify right side
    1,997.91x = 3,457,265.41
  5. Step 5: Solve for x
    x = 3,457,265.41/1,997.91
  6. Step 6: Final answer
    x = 1,730.44

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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.