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Finding the Fourth Proportional to 2,241.04, 3,362.80 and 943.44

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Solution

The fourth proportional to 2,241.04, 3,362.80 and 943.44 is: 1,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.04 : 3,362.80 = 943.44 : x
  2. Step 2: Convert to fraction form
    2,241.04/3,362.80 = 943.44/x
  3. Step 3: Cross multiply
    2,241.04x = 3,362.80 × 943.44
  4. Step 4: Simplify right side
    2,241.04x = 3,172,600.03
  5. Step 5: Solve for x
    x = 3,172,600.03/2,241.04
  6. Step 6: Final answer
    x = 1,415.68

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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.