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Finding the Fourth Proportional to 2,843.66, 4,263.66 and 1,199.77

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Solution

The fourth proportional to 2,843.66, 4,263.66 and 1,199.77 is: 1,798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.66 : 4,263.66 = 1,199.77 : x
  2. Step 2: Convert to fraction form
    2,843.66/4,263.66 = 1,199.77/x
  3. Step 3: Cross multiply
    2,843.66x = 4,263.66 × 1,199.77
  4. Step 4: Simplify right side
    2,843.66x = 5,115,400.70
  5. Step 5: Solve for x
    x = 5,115,400.70/2,843.66
  6. Step 6: Final answer
    x = 1,798.88

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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.