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Finding the Fourth Proportional to 3,343.97, 4,614.65 and 1,927.14

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Solution

The fourth proportional to 3,343.97, 4,614.65 and 1,927.14 is: 2,659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.97 : 4,614.65 = 1,927.14 : x
  2. Step 2: Convert to fraction form
    3,343.97/4,614.65 = 1,927.14/x
  3. Step 3: Cross multiply
    3,343.97x = 4,614.65 × 1,927.14
  4. Step 4: Simplify right side
    3,343.97x = 8,893,093.68
  5. Step 5: Solve for x
    x = 8,893,093.68/3,343.97
  6. Step 6: Final answer
    x = 2,659.44

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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.