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Finding the Fourth Proportional to 2,441.34, 3,662.64 and 799.02

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Solution

The fourth proportional to 2,441.34, 3,662.64 and 799.02 is: 1,198.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.34 : 3,662.64 = 799.02 : x
  2. Step 2: Convert to fraction form
    2,441.34/3,662.64 = 799.02/x
  3. Step 3: Cross multiply
    2,441.34x = 3,662.64 × 799.02
  4. Step 4: Simplify right side
    2,441.34x = 2,926,522.61
  5. Step 5: Solve for x
    x = 2,926,522.61/2,441.34
  6. Step 6: Final answer
    x = 1,198.74

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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.