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Finding the Fourth Proportional to 2,563.94, 3,535.04 and 2,138.75

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Solution

The fourth proportional to 2,563.94, 3,535.04 and 2,138.75 is: 2,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.94 : 3,535.04 = 2,138.75 : x
  2. Step 2: Convert to fraction form
    2,563.94/3,535.04 = 2,138.75/x
  3. Step 3: Cross multiply
    2,563.94x = 3,535.04 × 2,138.75
  4. Step 4: Simplify right side
    2,563.94x = 7,560,538.43
  5. Step 5: Solve for x
    x = 7,560,538.43/2,563.94
  6. Step 6: Final answer
    x = 2,948.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.