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Finding the Fourth Proportional to 2,241.87, 3,363.11 and 780.68

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Solution

The fourth proportional to 2,241.87, 3,363.11 and 780.68 is: 1,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.87 : 3,363.11 = 780.68 : x
  2. Step 2: Convert to fraction form
    2,241.87/3,363.11 = 780.68/x
  3. Step 3: Cross multiply
    2,241.87x = 3,363.11 × 780.68
  4. Step 4: Simplify right side
    2,241.87x = 2,625,509.59
  5. Step 5: Solve for x
    x = 2,625,509.59/2,241.87
  6. Step 6: Final answer
    x = 1,171.13

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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.