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Finding the Fourth Proportional to 2,259.24, 3,389.22 and 798.81

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Solution

The fourth proportional to 2,259.24, 3,389.22 and 798.81 is: 1,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.24 : 3,389.22 = 798.81 : x
  2. Step 2: Convert to fraction form
    2,259.24/3,389.22 = 798.81/x
  3. Step 3: Cross multiply
    2,259.24x = 3,389.22 × 798.81
  4. Step 4: Simplify right side
    2,259.24x = 2,707,342.83
  5. Step 5: Solve for x
    x = 2,707,342.83/2,259.24
  6. Step 6: Final answer
    x = 1,198.34

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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.