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Finding the Fourth Proportional to 2,097.18, 3,146.17 and 798.54

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Solution

The fourth proportional to 2,097.18, 3,146.17 and 798.54 is: 1,197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.18 : 3,146.17 = 798.54 : x
  2. Step 2: Convert to fraction form
    2,097.18/3,146.17 = 798.54/x
  3. Step 3: Cross multiply
    2,097.18x = 3,146.17 × 798.54
  4. Step 4: Simplify right side
    2,097.18x = 2,512,342.59
  5. Step 5: Solve for x
    x = 2,512,342.59/2,097.18
  6. Step 6: Final answer
    x = 1,197.96

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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.