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Finding the Fourth Proportional to 2,259.67, 3,390.06 and 798.97

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Solution

The fourth proportional to 2,259.67, 3,390.06 and 798.97 is: 1,198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.67 : 3,390.06 = 798.97 : x
  2. Step 2: Convert to fraction form
    2,259.67/3,390.06 = 798.97/x
  3. Step 3: Cross multiply
    2,259.67x = 3,390.06 × 798.97
  4. Step 4: Simplify right side
    2,259.67x = 2,708,556.24
  5. Step 5: Solve for x
    x = 2,708,556.24/2,259.67
  6. Step 6: Final answer
    x = 1,198.65

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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.