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Finding the Fourth Proportional to 2,857.87, 4,286.81 and 1,876.88

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Solution

The fourth proportional to 2,857.87, 4,286.81 and 1,876.88 is: 2,815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.87 : 4,286.81 = 1,876.88 : x
  2. Step 2: Convert to fraction form
    2,857.87/4,286.81 = 1,876.88/x
  3. Step 3: Cross multiply
    2,857.87x = 4,286.81 × 1,876.88
  4. Step 4: Simplify right side
    2,857.87x = 8,045,820.75
  5. Step 5: Solve for x
    x = 8,045,820.75/2,857.87
  6. Step 6: Final answer
    x = 2,815.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.