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Finding the Fourth Proportional to 2,694.75, 4,042.14 and 1,803.39

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Solution

The fourth proportional to 2,694.75, 4,042.14 and 1,803.39 is: 2,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.75 : 4,042.14 = 1,803.39 : x
  2. Step 2: Convert to fraction form
    2,694.75/4,042.14 = 1,803.39/x
  3. Step 3: Cross multiply
    2,694.75x = 4,042.14 × 1,803.39
  4. Step 4: Simplify right side
    2,694.75x = 7,289,554.85
  5. Step 5: Solve for x
    x = 7,289,554.85/2,694.75
  6. Step 6: Final answer
    x = 2,705.10

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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.