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Finding the Fourth Proportional to 2,294.39, 3,441.60 and 908.06

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Solution

The fourth proportional to 2,294.39, 3,441.60 and 908.06 is: 1,362.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.39 : 3,441.60 = 908.06 : x
  2. Step 2: Convert to fraction form
    2,294.39/3,441.60 = 908.06/x
  3. Step 3: Cross multiply
    2,294.39x = 3,441.60 × 908.06
  4. Step 4: Simplify right side
    2,294.39x = 3,125,158.68
  5. Step 5: Solve for x
    x = 3,125,158.68/2,294.39
  6. Step 6: Final answer
    x = 1,362.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.