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Finding the Fourth Proportional to 2,287.99, 3,429.90 and 826.09

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Solution

The fourth proportional to 2,287.99, 3,429.90 and 826.09 is: 1,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.99 : 3,429.90 = 826.09 : x
  2. Step 2: Convert to fraction form
    2,287.99/3,429.90 = 826.09/x
  3. Step 3: Cross multiply
    2,287.99x = 3,429.90 × 826.09
  4. Step 4: Simplify right side
    2,287.99x = 2,833,406.09
  5. Step 5: Solve for x
    x = 2,833,406.09/2,287.99
  6. Step 6: Final answer
    x = 1,238.38

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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.