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Finding the Fourth Proportional to 2,549.91, 3,522.27 and 1,997.32

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Solution

The fourth proportional to 2,549.91, 3,522.27 and 1,997.32 is: 2,758.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.91 : 3,522.27 = 1,997.32 : x
  2. Step 2: Convert to fraction form
    2,549.91/3,522.27 = 1,997.32/x
  3. Step 3: Cross multiply
    2,549.91x = 3,522.27 × 1,997.32
  4. Step 4: Simplify right side
    2,549.91x = 7,035,100.32
  5. Step 5: Solve for x
    x = 7,035,100.32/2,549.91
  6. Step 6: Final answer
    x = 2,758.96

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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.