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Finding the Fourth Proportional to 2,141.10, 3,211.38 and 908.28

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Solution

The fourth proportional to 2,141.10, 3,211.38 and 908.28 is: 1,362.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.10 : 3,211.38 = 908.28 : x
  2. Step 2: Convert to fraction form
    2,141.10/3,211.38 = 908.28/x
  3. Step 3: Cross multiply
    2,141.10x = 3,211.38 × 908.28
  4. Step 4: Simplify right side
    2,141.10x = 2,916,832.23
  5. Step 5: Solve for x
    x = 2,916,832.23/2,141.10
  6. Step 6: Final answer
    x = 1,362.31

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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.