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Finding the Fourth Proportional to 2,734.92, 4,104.54 and 1,197

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Solution

The fourth proportional to 2,734.92, 4,104.54 and 1,197 is: 1,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.92 : 4,104.54 = 1,197 : x
  2. Step 2: Convert to fraction form
    2,734.92/4,104.54 = 1,197/x
  3. Step 3: Cross multiply
    2,734.92x = 4,104.54 × 1,197
  4. Step 4: Simplify right side
    2,734.92x = 4,913,134.38
  5. Step 5: Solve for x
    x = 4,913,134.38/2,734.92
  6. Step 6: Final answer
    x = 1,796.45

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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.