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Finding the Fourth Proportional to 2,299.29, 3,449.39 and 913.28

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Solution

The fourth proportional to 2,299.29, 3,449.39 and 913.28 is: 1,370.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.29 : 3,449.39 = 913.28 : x
  2. Step 2: Convert to fraction form
    2,299.29/3,449.39 = 913.28/x
  3. Step 3: Cross multiply
    2,299.29x = 3,449.39 × 913.28
  4. Step 4: Simplify right side
    2,299.29x = 3,150,237.09
  5. Step 5: Solve for x
    x = 3,150,237.09/2,299.29
  6. Step 6: Final answer
    x = 1,370.09

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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.