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Finding the Fourth Proportional to 2,241.16, 3,361.63 and 780.42

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Solution

The fourth proportional to 2,241.16, 3,361.63 and 780.42 is: 1,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.16 : 3,361.63 = 780.42 : x
  2. Step 2: Convert to fraction form
    2,241.16/3,361.63 = 780.42/x
  3. Step 3: Cross multiply
    2,241.16x = 3,361.63 × 780.42
  4. Step 4: Simplify right side
    2,241.16x = 2,623,483.28
  5. Step 5: Solve for x
    x = 2,623,483.28/2,241.16
  6. Step 6: Final answer
    x = 1,170.59

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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.