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Finding the Fourth Proportional to 2,296.11, 3,441.61 and 908.40

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Solution

The fourth proportional to 2,296.11, 3,441.61 and 908.40 is: 1,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.11 : 3,441.61 = 908.40 : x
  2. Step 2: Convert to fraction form
    2,296.11/3,441.61 = 908.40/x
  3. Step 3: Cross multiply
    2,296.11x = 3,441.61 × 908.40
  4. Step 4: Simplify right side
    2,296.11x = 3,126,353.21
  5. Step 5: Solve for x
    x = 3,126,353.21/2,296.11
  6. Step 6: Final answer
    x = 1,361.58

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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.