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Finding the Fourth Proportional to 2,241.11, 3,362.17 and 780.26

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Solution

The fourth proportional to 2,241.11, 3,362.17 and 780.26 is: 1,170.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.11 : 3,362.17 = 780.26 : x
  2. Step 2: Convert to fraction form
    2,241.11/3,362.17 = 780.26/x
  3. Step 3: Cross multiply
    2,241.11x = 3,362.17 × 780.26
  4. Step 4: Simplify right side
    2,241.11x = 2,623,360.02
  5. Step 5: Solve for x
    x = 2,623,360.02/2,241.11
  6. Step 6: Final answer
    x = 1,170.57

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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.