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Finding the Fourth Proportional to 2,140.56, 3,211.83 and 908.27

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Solution

The fourth proportional to 2,140.56, 3,211.83 and 908.27 is: 1,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.56 : 3,211.83 = 908.27 : x
  2. Step 2: Convert to fraction form
    2,140.56/3,211.83 = 908.27/x
  3. Step 3: Cross multiply
    2,140.56x = 3,211.83 × 908.27
  4. Step 4: Simplify right side
    2,140.56x = 2,917,192.77
  5. Step 5: Solve for x
    x = 2,917,192.77/2,140.56
  6. Step 6: Final answer
    x = 1,362.82

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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.