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Finding the Fourth Proportional to 1,344.33, 1,850.94 and 1,221.30

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Solution

The fourth proportional to 1,344.33, 1,850.94 and 1,221.30 is: 1,681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.33 : 1,850.94 = 1,221.30 : x
  2. Step 2: Convert to fraction form
    1,344.33/1,850.94 = 1,221.30/x
  3. Step 3: Cross multiply
    1,344.33x = 1,850.94 × 1,221.30
  4. Step 4: Simplify right side
    1,344.33x = 2,260,553.02
  5. Step 5: Solve for x
    x = 2,260,553.02/1,344.33
  6. Step 6: Final answer
    x = 1,681.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.