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Finding the Fourth Proportional to 2,712.38, 4,057.43 and 2,165.63

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Solution

The fourth proportional to 2,712.38, 4,057.43 and 2,165.63 is: 3,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.38 : 4,057.43 = 2,165.63 : x
  2. Step 2: Convert to fraction form
    2,712.38/4,057.43 = 2,165.63/x
  3. Step 3: Cross multiply
    2,712.38x = 4,057.43 × 2,165.63
  4. Step 4: Simplify right side
    2,712.38x = 8,786,876.23
  5. Step 5: Solve for x
    x = 8,786,876.23/2,712.38
  6. Step 6: Final answer
    x = 3,239.55

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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.