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Finding the Fourth Proportional to 2,241.62, 3,361.71 and 780.38

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Solution

The fourth proportional to 2,241.62, 3,361.71 and 780.38 is: 1,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.62 : 3,361.71 = 780.38 : x
  2. Step 2: Convert to fraction form
    2,241.62/3,361.71 = 780.38/x
  3. Step 3: Cross multiply
    2,241.62x = 3,361.71 × 780.38
  4. Step 4: Simplify right side
    2,241.62x = 2,623,411.25
  5. Step 5: Solve for x
    x = 2,623,411.25/2,241.62
  6. Step 6: Final answer
    x = 1,170.32

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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.