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Finding the Fourth Proportional to 2,863.02, 4,286.85 and 1,628.58

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Solution

The fourth proportional to 2,863.02, 4,286.85 and 1,628.58 is: 2,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.02 : 4,286.85 = 1,628.58 : x
  2. Step 2: Convert to fraction form
    2,863.02/4,286.85 = 1,628.58/x
  3. Step 3: Cross multiply
    2,863.02x = 4,286.85 × 1,628.58
  4. Step 4: Simplify right side
    2,863.02x = 6,981,478.17
  5. Step 5: Solve for x
    x = 6,981,478.17/2,863.02
  6. Step 6: Final answer
    x = 2,438.50

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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.