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Finding the Fourth Proportional to 2,945.49, 4,408.62 and 2,165.29

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Solution

The fourth proportional to 2,945.49, 4,408.62 and 2,165.29 is: 3,240.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.49 : 4,408.62 = 2,165.29 : x
  2. Step 2: Convert to fraction form
    2,945.49/4,408.62 = 2,165.29/x
  3. Step 3: Cross multiply
    2,945.49x = 4,408.62 × 2,165.29
  4. Step 4: Simplify right side
    2,945.49x = 9,545,940.80
  5. Step 5: Solve for x
    x = 9,545,940.80/2,945.49
  6. Step 6: Final answer
    x = 3,240.87

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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.