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Finding the Fourth Proportional to 1,826.36, 2,739.56 and 527.84

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Solution

The fourth proportional to 1,826.36, 2,739.56 and 527.84 is: 791.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.36 : 2,739.56 = 527.84 : x
  2. Step 2: Convert to fraction form
    1,826.36/2,739.56 = 527.84/x
  3. Step 3: Cross multiply
    1,826.36x = 2,739.56 × 527.84
  4. Step 4: Simplify right side
    1,826.36x = 1,446,049.35
  5. Step 5: Solve for x
    x = 1,446,049.35/1,826.36
  6. Step 6: Final answer
    x = 791.77

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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.