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Finding the Fourth Proportional to 2,140.68, 3,212.25 and 908.01

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Solution

The fourth proportional to 2,140.68, 3,212.25 and 908.01 is: 1,362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.68 : 3,212.25 = 908.01 : x
  2. Step 2: Convert to fraction form
    2,140.68/3,212.25 = 908.01/x
  3. Step 3: Cross multiply
    2,140.68x = 3,212.25 × 908.01
  4. Step 4: Simplify right side
    2,140.68x = 2,916,755.12
  5. Step 5: Solve for x
    x = 2,916,755.12/2,140.68
  6. Step 6: Final answer
    x = 1,362.54

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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.