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Finding the Fourth Proportional to 2,259.69, 3,389.83 and 798.34

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Solution

The fourth proportional to 2,259.69, 3,389.83 and 798.34 is: 1,197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.69 : 3,389.83 = 798.34 : x
  2. Step 2: Convert to fraction form
    2,259.69/3,389.83 = 798.34/x
  3. Step 3: Cross multiply
    2,259.69x = 3,389.83 × 798.34
  4. Step 4: Simplify right side
    2,259.69x = 2,706,236.88
  5. Step 5: Solve for x
    x = 2,706,236.88/2,259.69
  6. Step 6: Final answer
    x = 1,197.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.