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Finding the Fourth Proportional to 1,801.99, 2,699.37 and 826.75

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Solution

The fourth proportional to 1,801.99, 2,699.37 and 826.75 is: 1,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.99 : 2,699.37 = 826.75 : x
  2. Step 2: Convert to fraction form
    1,801.99/2,699.37 = 826.75/x
  3. Step 3: Cross multiply
    1,801.99x = 2,699.37 × 826.75
  4. Step 4: Simplify right side
    1,801.99x = 2,231,704.15
  5. Step 5: Solve for x
    x = 2,231,704.15/1,801.99
  6. Step 6: Final answer
    x = 1,238.47

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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.