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Finding the Fourth Proportional to 2,241.41, 3,361.87 and 598.12

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Solution

The fourth proportional to 2,241.41, 3,361.87 and 598.12 is: 897.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.41 : 3,361.87 = 598.12 : x
  2. Step 2: Convert to fraction form
    2,241.41/3,361.87 = 598.12/x
  3. Step 3: Cross multiply
    2,241.41x = 3,361.87 × 598.12
  4. Step 4: Simplify right side
    2,241.41x = 2,010,794.03
  5. Step 5: Solve for x
    x = 2,010,794.03/2,241.41
  6. Step 6: Final answer
    x = 897.11

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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.