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Finding the Fourth Proportional to 2,441.77, 3,654.13 and 1,997.89

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Solution

The fourth proportional to 2,441.77, 3,654.13 and 1,997.89 is: 2,989.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.77 : 3,654.13 = 1,997.89 : x
  2. Step 2: Convert to fraction form
    2,441.77/3,654.13 = 1,997.89/x
  3. Step 3: Cross multiply
    2,441.77x = 3,654.13 × 1,997.89
  4. Step 4: Simplify right side
    2,441.77x = 7,300,549.79
  5. Step 5: Solve for x
    x = 7,300,549.79/2,441.77
  6. Step 6: Final answer
    x = 2,989.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.