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Finding the Fourth Proportional to 2,073.87, 3,107.57 and 1,302.75

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Solution

The fourth proportional to 2,073.87, 3,107.57 and 1,302.75 is: 1,952.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.87 : 3,107.57 = 1,302.75 : x
  2. Step 2: Convert to fraction form
    2,073.87/3,107.57 = 1,302.75/x
  3. Step 3: Cross multiply
    2,073.87x = 3,107.57 × 1,302.75
  4. Step 4: Simplify right side
    2,073.87x = 4,048,380.30
  5. Step 5: Solve for x
    x = 4,048,380.30/2,073.87
  6. Step 6: Final answer
    x = 1,952.09

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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.