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Finding the Fourth Proportional to 2,674.31, 4,011.96 and 1,213.56

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Solution

The fourth proportional to 2,674.31, 4,011.96 and 1,213.56 is: 1,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.31 : 4,011.96 = 1,213.56 : x
  2. Step 2: Convert to fraction form
    2,674.31/4,011.96 = 1,213.56/x
  3. Step 3: Cross multiply
    2,674.31x = 4,011.96 × 1,213.56
  4. Step 4: Simplify right side
    2,674.31x = 4,868,754.18
  5. Step 5: Solve for x
    x = 4,868,754.18/2,674.31
  6. Step 6: Final answer
    x = 1,820.57

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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.