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Finding the Fourth Proportional to 1,800.50, 2,698.46 and 863.88

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Solution

The fourth proportional to 1,800.50, 2,698.46 and 863.88 is: 1,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.50 : 2,698.46 = 863.88 : x
  2. Step 2: Convert to fraction form
    1,800.50/2,698.46 = 863.88/x
  3. Step 3: Cross multiply
    1,800.50x = 2,698.46 × 863.88
  4. Step 4: Simplify right side
    1,800.50x = 2,331,145.62
  5. Step 5: Solve for x
    x = 2,331,145.62/1,800.50
  6. Step 6: Final answer
    x = 1,294.72

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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.