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Finding the Fourth Proportional to 2,241.64, 3,362.82 and 943.30

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Solution

The fourth proportional to 2,241.64, 3,362.82 and 943.30 is: 1,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.64 : 3,362.82 = 943.30 : x
  2. Step 2: Convert to fraction form
    2,241.64/3,362.82 = 943.30/x
  3. Step 3: Cross multiply
    2,241.64x = 3,362.82 × 943.30
  4. Step 4: Simplify right side
    2,241.64x = 3,172,148.11
  5. Step 5: Solve for x
    x = 3,172,148.11/2,241.64
  6. Step 6: Final answer
    x = 1,415.10

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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.