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Finding the Fourth Proportional to 2,113.01, 3,168.70 and 1,072.56

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Solution

The fourth proportional to 2,113.01, 3,168.70 and 1,072.56 is: 1,608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.01 : 3,168.70 = 1,072.56 : x
  2. Step 2: Convert to fraction form
    2,113.01/3,168.70 = 1,072.56/x
  3. Step 3: Cross multiply
    2,113.01x = 3,168.70 × 1,072.56
  4. Step 4: Simplify right side
    2,113.01x = 3,398,620.87
  5. Step 5: Solve for x
    x = 3,398,620.87/2,113.01
  6. Step 6: Final answer
    x = 1,608.43

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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.