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Finding the Fourth Proportional to 1,844.26, 2,765.96 and 527.98

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Solution

The fourth proportional to 1,844.26, 2,765.96 and 527.98 is: 791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.26 : 2,765.96 = 527.98 : x
  2. Step 2: Convert to fraction form
    1,844.26/2,765.96 = 527.98/x
  3. Step 3: Cross multiply
    1,844.26x = 2,765.96 × 527.98
  4. Step 4: Simplify right side
    1,844.26x = 1,460,371.56
  5. Step 5: Solve for x
    x = 1,460,371.56/1,844.26
  6. Step 6: Final answer
    x = 791.85

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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.