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Finding the Fourth Proportional to 2,260.12, 3,390.24 and 798.94

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Solution

The fourth proportional to 2,260.12, 3,390.24 and 798.94 is: 1,198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.12 : 3,390.24 = 798.94 : x
  2. Step 2: Convert to fraction form
    2,260.12/3,390.24 = 798.94/x
  3. Step 3: Cross multiply
    2,260.12x = 3,390.24 × 798.94
  4. Step 4: Simplify right side
    2,260.12x = 2,708,598.35
  5. Step 5: Solve for x
    x = 2,708,598.35/2,260.12
  6. Step 6: Final answer
    x = 1,198.43

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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.