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Finding the Fourth Proportional to 2,659.68, 3,990.36 and 1,198.52

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Solution

The fourth proportional to 2,659.68, 3,990.36 and 1,198.52 is: 1,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.68 : 3,990.36 = 1,198.52 : x
  2. Step 2: Convert to fraction form
    2,659.68/3,990.36 = 1,198.52/x
  3. Step 3: Cross multiply
    2,659.68x = 3,990.36 × 1,198.52
  4. Step 4: Simplify right side
    2,659.68x = 4,782,526.27
  5. Step 5: Solve for x
    x = 4,782,526.27/2,659.68
  6. Step 6: Final answer
    x = 1,798.16

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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.