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Finding the Fourth Proportional to 2,882.57, 4,323.05 and 1,238.75

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Solution

The fourth proportional to 2,882.57, 4,323.05 and 1,238.75 is: 1,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.57 : 4,323.05 = 1,238.75 : x
  2. Step 2: Convert to fraction form
    2,882.57/4,323.05 = 1,238.75/x
  3. Step 3: Cross multiply
    2,882.57x = 4,323.05 × 1,238.75
  4. Step 4: Simplify right side
    2,882.57x = 5,355,178.19
  5. Step 5: Solve for x
    x = 5,355,178.19/2,882.57
  6. Step 6: Final answer
    x = 1,857.78

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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.