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Finding the Fourth Proportional to 2,141.30, 3,212.24 and 908.53

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Solution

The fourth proportional to 2,141.30, 3,212.24 and 908.53 is: 1,362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.30 : 3,212.24 = 908.53 : x
  2. Step 2: Convert to fraction form
    2,141.30/3,212.24 = 908.53/x
  3. Step 3: Cross multiply
    2,141.30x = 3,212.24 × 908.53
  4. Step 4: Simplify right side
    2,141.30x = 2,918,403.83
  5. Step 5: Solve for x
    x = 2,918,403.83/2,141.30
  6. Step 6: Final answer
    x = 1,362.91

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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.