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Finding the Fourth Proportional to 2,185.17, 3,276.89 and 798.19

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Solution

The fourth proportional to 2,185.17, 3,276.89 and 798.19 is: 1,196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.17 : 3,276.89 = 798.19 : x
  2. Step 2: Convert to fraction form
    2,185.17/3,276.89 = 798.19/x
  3. Step 3: Cross multiply
    2,185.17x = 3,276.89 × 798.19
  4. Step 4: Simplify right side
    2,185.17x = 2,615,576.84
  5. Step 5: Solve for x
    x = 2,615,576.84/2,185.17
  6. Step 6: Final answer
    x = 1,196.97

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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.