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Finding the Fourth Proportional to 2,563.59, 3,845.90 and 920.27

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Solution

The fourth proportional to 2,563.59, 3,845.90 and 920.27 is: 1,380.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.59 : 3,845.90 = 920.27 : x
  2. Step 2: Convert to fraction form
    2,563.59/3,845.90 = 920.27/x
  3. Step 3: Cross multiply
    2,563.59x = 3,845.90 × 920.27
  4. Step 4: Simplify right side
    2,563.59x = 3,539,246.01
  5. Step 5: Solve for x
    x = 3,539,246.01/2,563.59
  6. Step 6: Final answer
    x = 1,380.58

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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.