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Finding the Fourth Proportional to 2,694.76, 4,042.34 and 1,396.46

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Solution

The fourth proportional to 2,694.76, 4,042.34 and 1,396.46 is: 2,094.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.76 : 4,042.34 = 1,396.46 : x
  2. Step 2: Convert to fraction form
    2,694.76/4,042.34 = 1,396.46/x
  3. Step 3: Cross multiply
    2,694.76x = 4,042.34 × 1,396.46
  4. Step 4: Simplify right side
    2,694.76x = 5,644,966.12
  5. Step 5: Solve for x
    x = 5,644,966.12/2,694.76
  6. Step 6: Final answer
    x = 2,094.79

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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.