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Finding the Fourth Proportional to 1,844.20, 2,766.46 and 527.96

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Solution

The fourth proportional to 1,844.20, 2,766.46 and 527.96 is: 791.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.20 : 2,766.46 = 527.96 : x
  2. Step 2: Convert to fraction form
    1,844.20/2,766.46 = 527.96/x
  3. Step 3: Cross multiply
    1,844.20x = 2,766.46 × 527.96
  4. Step 4: Simplify right side
    1,844.20x = 1,460,563.75
  5. Step 5: Solve for x
    x = 1,460,563.75/1,844.20
  6. Step 6: Final answer
    x = 791.98

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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.